Atkin-Lehner |
3- 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
30303l |
Isogeny class |
Conductor |
30303 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
9131113505241 = 318 · 72 · 13 · 37 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6606,-145233] |
[a1,a2,a3,a4,a6] |
Generators |
[3018:17651:27] |
Generators of the group modulo torsion |
j |
43736987994337/12525532929 |
j-invariant |
L |
7.8385162032775 |
L(r)(E,1)/r! |
Ω |
0.54110794104348 |
Real period |
R |
7.2430245508517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10101g1 |
Quadratic twists by: -3 |