Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
92950bi |
Isogeny class |
Conductor |
92950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1666560 |
Modular degree for the optimal curve |
Δ |
59316957476562500 = 22 · 59 · 112 · 137 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 11- 13+ -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-678200,214371500] |
[a1,a2,a3,a4,a6] |
Generators |
[1396:43918:1] |
Generators of the group modulo torsion |
j |
3659383421/6292 |
j-invariant |
L |
6.7543704273974 |
L(r)(E,1)/r! |
Ω |
0.35145475122248 |
Real period |
R |
2.4022901976221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92950cy1 7150u1 |
Quadratic twists by: 5 13 |