Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450i |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-162260437500 = -1 · 22 · 32 · 56 · 73 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1125,-12375] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-324:1] |
Generators of the group modulo torsion |
j |
10063705679/10384668 |
j-invariant |
L |
3.9268279846979 |
L(r)(E,1)/r! |
Ω |
0.55450771609694 |
Real period |
R |
0.59013726210129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91350em1 1218j1 |
Quadratic twists by: -3 5 |