Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51376v |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98496 |
Modular degree for the optimal curve |
Δ |
-3005132668928 = -1 · 215 · 136 · 19 |
Discriminant |
Eigenvalues |
2- -1 0 -1 -6 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41968,-3296320] |
[a1,a2,a3,a4,a6] |
Generators |
[760:20080:1] |
Generators of the group modulo torsion |
j |
-413493625/152 |
j-invariant |
L |
3.2497243339802 |
L(r)(E,1)/r! |
Ω |
0.16677446333191 |
Real period |
R |
4.8714357537632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6422f1 304b1 |
Quadratic twists by: -4 13 |