Atkin-Lehner |
2- 31+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
30256f |
Isogeny class |
Conductor |
30256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-14191879662075904 = -1 · 218 · 316 · 61 |
Discriminant |
Eigenvalues |
2- 2 3 1 3 -7 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,47576,-4126608] |
[a1,a2,a3,a4,a6] |
Generators |
[6009047070:176406989426:7414875] |
Generators of the group modulo torsion |
j |
2907491221594583/3464814370624 |
j-invariant |
L |
9.8122550488141 |
L(r)(E,1)/r! |
Ω |
0.21259560073836 |
Real period |
R |
11.538638399308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3782b2 121024s2 |
Quadratic twists by: -4 8 |