Atkin-Lehner |
2- 3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
30660x |
Isogeny class |
Conductor |
30660 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-794707200 = -1 · 28 · 35 · 52 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -3 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10220,-401100] |
[a1,a2,a3,a4,a6] |
j |
-461188987116496/3104325 |
j-invariant |
L |
2.3741224703858 |
L(r)(E,1)/r! |
Ω |
0.23741224703874 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122640bj1 91980v1 |
Quadratic twists by: -4 -3 |