Atkin-Lehner |
3+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83391c |
Isogeny class |
Conductor |
83391 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
950400 |
Modular degree for the optimal curve |
Δ |
597442087587192309 = 311 · 73 · 11 · 197 |
Discriminant |
Eigenvalues |
0 3+ 1 7+ 11- -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-308775,54677765] |
[a1,a2,a3,a4,a6] |
Generators |
[-595:5234:1] |
Generators of the group modulo torsion |
j |
69203793903616/12699136989 |
j-invariant |
L |
3.466333532777 |
L(r)(E,1)/r! |
Ω |
0.2757305670399 |
Real period |
R |
3.1428629477587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000554 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4389d1 |
Quadratic twists by: -19 |