Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190cg |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
58 |
Product of Tamagawa factors cp |
deg |
701568 |
Modular degree for the optimal curve |
Δ |
-415556326077235200 = -1 · 229 · 39 · 52 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- 13- 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,154520,20444777] |
[a1,a2,a3,a4,a6] |
Generators |
[37:5101:1] |
Generators of the group modulo torsion |
j |
3372036481719478199/3434349802291200 |
j-invariant |
L |
7.5281050248382 |
L(r)(E,1)/r! |
Ω |
0.19717990916842 |
Real period |
R |
0.65825628365682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190q1 |
Quadratic twists by: -11 |