Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920dt |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
37681669519441920 = 222 · 313 · 5 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-743763,-246711278] |
[a1,a2,a3,a4,a6] |
Generators |
[9599:936522:1] |
Generators of the group modulo torsion |
j |
15238420194810961/12619514880 |
j-invariant |
L |
7.1607902461264 |
L(r)(E,1)/r! |
Ω |
0.16257827187869 |
Real period |
R |
5.5056482268693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000072276 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490g1 38640da1 |
Quadratic twists by: -4 -3 |