Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280cu |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
96018048000 = 210 · 37 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7707,259994] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-90:1] [-77:630:1] |
Generators of the group modulo torsion |
j |
197723452/375 |
j-invariant |
L |
8.8276531764756 |
L(r)(E,1)/r! |
Ω |
1.0684810915489 |
Real period |
R |
0.34424463405334 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17640bl1 11760i1 35280bv1 |
Quadratic twists by: -4 -3 -7 |