Atkin-Lehner |
2- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850bo |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
2956800 |
Modular degree for the optimal curve |
Δ |
2.0023505911808E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -3 -1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1366105,575971897] |
[a1,a2,a3,a4,a6] |
Generators |
[919:9340:1] |
Generators of the group modulo torsion |
j |
3130194403161/222298112 |
j-invariant |
L |
9.4999797876353 |
L(r)(E,1)/r! |
Ω |
0.21202321701823 |
Real period |
R |
0.33944180125528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000160223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5194a1 129850cq1 |
Quadratic twists by: 5 -7 |