Atkin-Lehner |
2+ 5- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
50320d |
Isogeny class |
Conductor |
50320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-32204800 = -1 · 211 · 52 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5- -1 0 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-107,506] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] [1:20:1] |
Generators of the group modulo torsion |
j |
-66152322/15725 |
j-invariant |
L |
9.5610863960079 |
L(r)(E,1)/r! |
Ω |
1.9830371962681 |
Real period |
R |
0.60267946650228 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25160g1 |
Quadratic twists by: -4 |