Atkin-Lehner |
2+ 3+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
9030b |
Isogeny class |
Conductor |
9030 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
24816906377625600 = 220 · 35 · 52 · 72 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19720998,-33716874348] |
[a1,a2,a3,a4,a6] |
j |
848223721252993721120426089/24816906377625600 |
j-invariant |
L |
0.42985163274131 |
L(r)(E,1)/r! |
Ω |
0.071641938790218 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240cp1 27090bn1 45150cw1 63210bb1 |
Quadratic twists by: -4 -3 5 -7 |