Atkin-Lehner |
2+ 3+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59280j |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
12316309200 = 24 · 38 · 52 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39135,-2966850] |
[a1,a2,a3,a4,a6] |
Generators |
[227400:-4192965:512] |
Generators of the group modulo torsion |
j |
414296096348010496/769769325 |
j-invariant |
L |
5.0788648818119 |
L(r)(E,1)/r! |
Ω |
0.33943556452566 |
Real period |
R |
7.4813387467748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999478 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29640x1 |
Quadratic twists by: -4 |