Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150cc |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
622980497906250000 = 24 · 3 · 59 · 118 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-494088,128127792] |
[a1,a2,a3,a4,a6] |
Generators |
[7014:108868:27] |
Generators of the group modulo torsion |
j |
853722366857003449/39870751866000 |
j-invariant |
L |
11.448993463326 |
L(r)(E,1)/r! |
Ω |
0.28558145561068 |
Real period |
R |
5.0112644039069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999859 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230b1 |
Quadratic twists by: 5 |