Atkin-Lehner |
2+ 3- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
15510d |
Isogeny class |
Conductor |
15510 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
21917186260992000 = 220 · 35 · 53 · 114 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-71044,-1550974] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:2426:1] |
Generators of the group modulo torsion |
j |
39654925783732534969/21917186260992000 |
j-invariant |
L |
3.8396780366066 |
L(r)(E,1)/r! |
Ω |
0.31310770703621 |
Real period |
R |
2.4526244166597 |
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 |
124080bi1 46530bf1 77550bb1 |
Quadratic twists by: -4 -3 5 |