Atkin-Lehner |
2+ 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
9030k |
Isogeny class |
Conductor |
9030 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-65303597625840 = -1 · 24 · 318 · 5 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-183704,30292886] |
[a1,a2,a3,a4,a6] |
j |
-685608435156667567609/65303597625840 |
j-invariant |
L |
1.1867056120375 |
L(r)(E,1)/r! |
Ω |
0.59335280601877 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
72240bh1 27090bt1 45150bu1 63210m1 |
Quadratic twists by: -4 -3 5 -7 |