Atkin-Lehner |
2- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
100672ch |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-3685400576 = -1 · 214 · 113 · 132 |
Discriminant |
Eigenvalues |
2- -3 1 4 11+ 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-352,-3872] |
[a1,a2,a3,a4,a6] |
Generators |
[33:143:1] |
Generators of the group modulo torsion |
j |
-221184/169 |
j-invariant |
L |
5.5607409595708 |
L(r)(E,1)/r! |
Ω |
0.53346243800457 |
Real period |
R |
2.6059664884321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672d1 25168o1 100672cd1 |
Quadratic twists by: -4 8 -11 |