Atkin-Lehner |
2- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
109330s |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
835200 |
Modular degree for the optimal curve |
Δ |
67633315032327200 = 25 · 52 · 132 · 298 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 -4 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-193588,30350967] |
[a1,a2,a3,a4,a6] |
Generators |
[2313:108173:1] |
Generators of the group modulo torsion |
j |
1603883889/135200 |
j-invariant |
L |
7.3986874614746 |
L(r)(E,1)/r! |
Ω |
0.33923297562908 |
Real period |
R |
0.36350079631652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109330a1 |
Quadratic twists by: 29 |