Atkin-Lehner |
2+ 3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550bd |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
272160 |
Modular degree for the optimal curve |
Δ |
383472079200 = 25 · 39 · 52 · 73 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 1 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-117331,15459278] |
[a1,a2,a3,a4,a6] |
Generators |
[196:-58:1] |
Generators of the group modulo torsion |
j |
7145237996368285585/15338883168 |
j-invariant |
L |
5.2431150726416 |
L(r)(E,1)/r! |
Ω |
0.81943162317922 |
Real period |
R |
0.71094198081934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550cu1 |
Quadratic twists by: 5 |