Atkin-Lehner |
3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84525cn |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2073600 |
Modular degree for the optimal curve |
Δ |
-1.5625571007006E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,559187,-101276008] |
[a1,a2,a3,a4,a6] |
j |
10519294081031/8500170375 |
j-invariant |
L |
2.4500492118264 |
L(r)(E,1)/r! |
Ω |
0.12250246056624 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16905l1 1725g1 |
Quadratic twists by: 5 -7 |