Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608dt |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
7285119270912 = 214 · 33 · 74 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -2 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26652,1669680] |
[a1,a2,a3,a4,a6] |
Generators |
[69:399:1] [-8:1372:1] |
Generators of the group modulo torsion |
j |
4732922819952/16468459 |
j-invariant |
L |
8.5170977344707 |
L(r)(E,1)/r! |
Ω |
0.74743868914107 |
Real period |
R |
0.47479355487385 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608b1 19152i1 76608dr1 |
Quadratic twists by: -4 8 -3 |