Atkin-Lehner |
2- 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
30450bw |
Isogeny class |
Conductor |
30450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
310902188625000000 = 26 · 36 · 59 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-222121963,-1274285999719] |
[a1,a2,a3,a4,a6] |
Generators |
[-9735604176938:4853324122369:1131366088] |
Generators of the group modulo torsion |
j |
77567214327657812308568809/19897740072000 |
j-invariant |
L |
7.1687403680182 |
L(r)(E,1)/r! |
Ω |
0.039106745850288 |
Real period |
R |
15.276009744078 |
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 |
91350ba3 6090j3 |
Quadratic twists by: -3 5 |