Atkin-Lehner |
3+ 7- 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
30597d |
Isogeny class |
Conductor |
30597 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
-634184019 = -1 · 33 · 73 · 31 · 472 |
Discriminant |
Eigenvalues |
2 3+ 3 7- 4 -3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,196,533] |
[a1,a2,a3,a4,a6] |
j |
828465164288/634184019 |
j-invariant |
L |
6.2363283310016 |
L(r)(E,1)/r! |
Ω |
1.0393880551661 |
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 |
91791g1 |
Quadratic twists by: -3 |