Atkin-Lehner |
2+ 3- 7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
62118k |
Isogeny class |
Conductor |
62118 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5031936 |
Modular degree for the optimal curve |
Δ |
-2522351067778217088 = -1 · 27 · 319 · 7 · 174 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -3 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-79165413,-271093840619] |
[a1,a2,a3,a4,a6] |
Generators |
[47852205217:421141816:4657463] |
Generators of the group modulo torsion |
j |
-75266657896884164781859153/3460015182137472 |
j-invariant |
L |
2.5056701299145 |
L(r)(E,1)/r! |
Ω |
0.025306709927606 |
Real period |
R |
12.376510701522 |
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 |
20706s1 |
Quadratic twists by: -3 |