Atkin-Lehner |
3+ 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
59829a |
Isogeny class |
Conductor |
59829 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-570144583701 = -1 · 35 · 78 · 11 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 1 7+ 11- -5 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50,36308] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:28:1] |
Generators of the group modulo torsion |
j |
-2401/98901 |
j-invariant |
L |
2.9792463401764 |
L(r)(E,1)/r! |
Ω |
0.73436023760025 |
Real period |
R |
4.0569276323799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000453 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59829l1 |
Quadratic twists by: -7 |