Atkin-Lehner |
3- 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
59829n |
Isogeny class |
Conductor |
59829 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-88698207378627 = -1 · 37 · 77 · 113 · 37 |
Discriminant |
Eigenvalues |
2 3- 2 7- 11- -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,11058,-67147] |
[a1,a2,a3,a4,a6] |
Generators |
[282:4847:8] |
Generators of the group modulo torsion |
j |
1270942650368/753922323 |
j-invariant |
L |
17.690037964666 |
L(r)(E,1)/r! |
Ω |
0.35350678162237 |
Real period |
R |
0.59573309764036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8547d1 |
Quadratic twists by: -7 |