Atkin-Lehner |
3- 7- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
30303l |
Isogeny class |
Conductor |
30303 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-51625905012497907 = -1 · 39 · 72 · 134 · 374 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20124,10871415] |
[a1,a2,a3,a4,a6] |
Generators |
[558:13707:1] |
Generators of the group modulo torsion |
j |
1236308828174783/70817428000683 |
j-invariant |
L |
7.8385162032775 |
L(r)(E,1)/r! |
Ω |
0.27055397052174 |
Real period |
R |
1.8107561377129 |
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 |
10101g4 |
Quadratic twists by: -3 |