Atkin-Lehner |
5+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
114155a |
Isogeny class |
Conductor |
114155 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
808704 |
Modular degree for the optimal curve |
Δ |
-25289121124655875 = -1 · 53 · 177 · 793 |
Discriminant |
Eigenvalues |
0 2 5+ 4 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-154711,-24588808] |
[a1,a2,a3,a4,a6] |
Generators |
[3293941584955401103020:51305039936815354219439:5659441126920634509] |
Generators of the group modulo torsion |
j |
-16966668353536/1047707875 |
j-invariant |
L |
7.8321110598848 |
L(r)(E,1)/r! |
Ω |
0.11993318886701 |
Real period |
R |
32.651975378432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6715e1 |
Quadratic twists by: 17 |