Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
124992cy |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2433024 |
Modular degree for the optimal curve |
Δ |
-664908114059062272 = -1 · 210 · 315 · 72 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -2 -2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,155472,31343240] |
[a1,a2,a3,a4,a6] |
Generators |
[553730:37006956:125] |
Generators of the group modulo torsion |
j |
556740459216896/890705528307 |
j-invariant |
L |
10.078551427069 |
L(r)(E,1)/r! |
Ω |
0.19592220374344 |
Real period |
R |
6.4301998414006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039257 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992fj1 7812i1 41664w1 |
Quadratic twists by: -4 8 -3 |