Atkin-Lehner |
7- 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
87241c |
Isogeny class |
Conductor |
87241 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
832128 |
Modular degree for the optimal curve |
Δ |
-1225757885637131 = -1 · 72 · 119 · 1032 |
Discriminant |
Eigenvalues |
-2 3 1 7- 11+ 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-22627,-2133926] |
[a1,a2,a3,a4,a6] |
Generators |
[35211:1262440:27] |
Generators of the group modulo torsion |
j |
-543338496/519841 |
j-invariant |
L |
7.2999047722427 |
L(r)(E,1)/r! |
Ω |
0.18731240085264 |
Real period |
R |
4.871477233487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002487 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87241a1 |
Quadratic twists by: -11 |