Atkin-Lehner |
2+ 3+ 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350n |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
240000 |
Modular degree for the optimal curve |
Δ |
-58981254667500 = -1 · 22 · 3 · 54 · 11 · 595 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6625,-426575] |
[a1,a2,a3,a4,a6] |
Generators |
[46230:841841:125] |
Generators of the group modulo torsion |
j |
-51464027034025/94370007468 |
j-invariant |
L |
4.4517849372965 |
L(r)(E,1)/r! |
Ω |
0.24941015595825 |
Real period |
R |
8.9246264250002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000538 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97350cr2 |
Quadratic twists by: 5 |