Atkin-Lehner |
7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
4949c |
Isogeny class |
Conductor |
4949 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
582244901 = 78 · 101 |
Discriminant |
Eigenvalues |
-2 2 3 7- -4 1 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-604,-5398] |
[a1,a2,a3,a4,a6] |
j |
207474688/4949 |
j-invariant |
L |
1.9285974316196 |
L(r)(E,1)/r! |
Ω |
0.96429871580982 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79184v1 44541l1 123725g1 707a1 |
Quadratic twists by: -4 -3 5 -7 |