Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050fp |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1411200 |
Modular degree for the optimal curve |
Δ |
-464584137194531250 = -1 · 2 · 36 · 58 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -3 13+ 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-843680,-299859803] |
[a1,a2,a3,a4,a6] |
j |
-48317985/338 |
j-invariant |
L |
3.936531058527 |
L(r)(E,1)/r! |
Ω |
0.078730621666239 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450l1 76050ba1 5850w1 |
Quadratic twists by: -3 5 13 |