Atkin-Lehner |
3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50715bu |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-422624139653835 = -1 · 310 · 5 · 76 · 233 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -2 2 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,13083,-804078] |
[a1,a2,a3,a4,a6] |
Generators |
[95:1138:1] |
Generators of the group modulo torsion |
j |
2887553024/4927635 |
j-invariant |
L |
3.3533445494558 |
L(r)(E,1)/r! |
Ω |
0.27888234708322 |
Real period |
R |
2.0040377746878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16905u1 1035b1 |
Quadratic twists by: -3 -7 |