Atkin-Lehner |
2- 3+ 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
103350bg |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
15966720 |
Modular degree for the optimal curve |
Δ |
-1.465166856192E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11130437,-11608961719] |
[a1,a2,a3,a4,a6] |
Generators |
[1075:39462:1] |
Generators of the group modulo torsion |
j |
9759786808832727914519/9377067879628800000 |
j-invariant |
L |
5.9439769838951 |
L(r)(E,1)/r! |
Ω |
0.056246899592614 |
Real period |
R |
0.80057974728263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20670p1 |
Quadratic twists by: 5 |