Atkin-Lehner |
2+ 7+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
62608b |
Isogeny class |
Conductor |
62608 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-4006912 = -1 · 210 · 7 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 3 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,1092] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-2:1] [11:16:1] |
Generators of the group modulo torsion |
j |
-976562500/3913 |
j-invariant |
L |
7.3268705352434 |
L(r)(E,1)/r! |
Ω |
2.4854965394169 |
Real period |
R |
1.4739249117932 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31304g1 |
Quadratic twists by: -4 |