Atkin-Lehner |
2+ 3- 7+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
34314g |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
58060800 |
Modular degree for the optimal curve |
Δ |
2.0955688512261E+28 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 6 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4032318482,-98309313836764] |
[a1,a2,a3,a4,a6] |
j |
7250837816783677436093081243551897/20955688512261457823293243392 |
j-invariant |
L |
1.5917159995781 |
L(r)(E,1)/r! |
Ω |
0.01894899999488 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102942bk1 |
Quadratic twists by: -3 |