Atkin-Lehner |
2- 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
88740m |
Isogeny class |
Conductor |
88740 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
67338240 |
Modular degree for the optimal curve |
Δ |
456907361998332240 = 24 · 314 · 5 · 175 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -2 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17911495812,-922668932041319] |
[a1,a2,a3,a4,a6] |
Generators |
[355796015913654856588395738833193998287131439722927433841144940:44241119860279295237574508361732777882570613150635774060006604623:2201505896450312670536214283014647021757097867372400678043] |
Generators of the group modulo torsion |
j |
54484349321873228599056243933184/39172441872285 |
j-invariant |
L |
7.6940469296615 |
L(r)(E,1)/r! |
Ω |
0.013050182668763 |
Real period |
R |
98.262314596793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29580b1 |
Quadratic twists by: -3 |