Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118300r |
Isogeny class |
Conductor |
118300 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32901120 |
Modular degree for the optimal curve |
Δ |
9.0433178387529E+23 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 2 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1078783333,13637525025463] |
[a1,a2,a3,a4,a6] |
Generators |
[1525530:189146321:125] |
Generators of the group modulo torsion |
j |
11506050457600000/74942413 |
j-invariant |
L |
8.1645165140068 |
L(r)(E,1)/r! |
Ω |
0.079028575301608 |
Real period |
R |
6.4569338437193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999929364 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118300be1 9100a1 |
Quadratic twists by: 5 13 |