Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672cd |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1115136 |
Modular degree for the optimal curve |
Δ |
-6528911929819136 = -1 · 214 · 119 · 132 |
Discriminant |
Eigenvalues |
2- -3 1 -4 11+ 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42592,5153632] |
[a1,a2,a3,a4,a6] |
Generators |
[97:1391:1] [121:1331:1] |
Generators of the group modulo torsion |
j |
-221184/169 |
j-invariant |
L |
6.832577065295 |
L(r)(E,1)/r! |
Ω |
0.38806086644716 |
Real period |
R |
4.4017431646131 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672b1 25168q1 100672ch1 |
Quadratic twists by: -4 8 -11 |