Atkin-Lehner |
2+ 3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
51150w |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9.576394430625E+18 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8252526,-9124379552] |
[a1,a2,a3,a4,a6] |
Generators |
[467862540:173925458989:3375] |
Generators of the group modulo torsion |
j |
3977995745205517092049/612889243560000 |
j-invariant |
L |
5.5406686085173 |
L(r)(E,1)/r! |
Ω |
0.089075209150599 |
Real period |
R |
15.55053493936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10230w2 |
Quadratic twists by: 5 |