Atkin-Lehner |
3+ 5+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109725g |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1318912 |
Modular degree for the optimal curve |
Δ |
188625298640625 = 37 · 56 · 74 · 112 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11- -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2619113,-1632562594] |
[a1,a2,a3,a4,a6] |
j |
127164651399625564873/12072019113 |
j-invariant |
L |
0.94940383446382 |
L(r)(E,1)/r! |
Ω |
0.11867548007634 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4389j1 |
Quadratic twists by: 5 |