Atkin-Lehner |
2- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
52234bh |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
-107940175336448 = -1 · 210 · 76 · 13 · 413 |
Discriminant |
Eigenvalues |
2- -3 -2 7- -2 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37176,2813115] |
[a1,a2,a3,a4,a6] |
Generators |
[289:-4163:1] |
Generators of the group modulo torsion |
j |
-48296148523713/917476352 |
j-invariant |
L |
3.9409394607922 |
L(r)(E,1)/r! |
Ω |
0.59497981692348 |
Real period |
R |
0.11039420578429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999369 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1066d1 |
Quadratic twists by: -7 |