Atkin-Lehner |
2+ 3+ 5+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
100050n |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-174087000000 = -1 · 26 · 32 · 56 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1825,-36875] |
[a1,a2,a3,a4,a6] |
Generators |
[79:526:1] |
Generators of the group modulo torsion |
j |
-43059012625/11141568 |
j-invariant |
L |
3.4903811983013 |
L(r)(E,1)/r! |
Ω |
0.36030741379085 |
Real period |
R |
2.4218077810275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4002n1 |
Quadratic twists by: 5 |