Atkin-Lehner |
2- 5+ 23- 53- |
Signs for the Atkin-Lehner involutions |
Class |
121900g |
Isogeny class |
Conductor |
121900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
157440 |
Modular degree for the optimal curve |
Δ |
-16151750000 = -1 · 24 · 56 · 23 · 532 |
Discriminant |
Eigenvalues |
2- -3 5+ 0 -2 1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1825,30625] |
[a1,a2,a3,a4,a6] |
Generators |
[19:53:1] [0:175:1] |
Generators of the group modulo torsion |
j |
-2688885504/64607 |
j-invariant |
L |
7.4582337959111 |
L(r)(E,1)/r! |
Ω |
1.2367922668342 |
Real period |
R |
0.50252536324552 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999974654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4876a1 |
Quadratic twists by: 5 |