Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
73800ba |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-3765153196800 = -1 · 28 · 315 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -5 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1380,-95420] |
[a1,a2,a3,a4,a6] |
Generators |
[134:-1458:1] |
Generators of the group modulo torsion |
j |
-62295040/807003 |
j-invariant |
L |
3.6262063417803 |
L(r)(E,1)/r! |
Ω |
0.33577543759893 |
Real period |
R |
0.67496865751256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600bd1 73800cv1 |
Quadratic twists by: -3 5 |