Atkin-Lehner |
2+ 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
30544j |
Isogeny class |
Conductor |
30544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-702512 = -1 · 24 · 232 · 83 |
Discriminant |
Eigenvalues |
2+ 3 0 -1 5 -6 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70,-229] |
[a1,a2,a3,a4,a6] |
Generators |
[1029:6184:27] |
Generators of the group modulo torsion |
j |
-2370816000/43907 |
j-invariant |
L |
9.8221017068069 |
L(r)(E,1)/r! |
Ω |
0.8243621178019 |
Real period |
R |
5.9573951147809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15272f1 122176br1 |
Quadratic twists by: -4 8 |