Atkin-Lehner |
3+ 5- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
52725g |
Isogeny class |
Conductor |
52725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6976 |
Modular degree for the optimal curve |
Δ |
-5008875 = -1 · 3 · 53 · 192 · 37 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 0 -3 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,37,53] |
[a1,a2,a3,a4,a6] |
Generators |
[1:9:1] |
Generators of the group modulo torsion |
j |
43614208/40071 |
j-invariant |
L |
3.3847591805038 |
L(r)(E,1)/r! |
Ω |
1.5873494649767 |
Real period |
R |
0.53308349156454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52725s1 |
Quadratic twists by: 5 |