Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672cj |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
176640 |
Modular degree for the optimal curve |
Δ |
16213326272 = 26 · 117 · 13 |
Discriminant |
Eigenvalues |
2- 0 -2 4 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23111,-1352296] |
[a1,a2,a3,a4,a6] |
Generators |
[-174849428806:-7197791475:1990865512] |
Generators of the group modulo torsion |
j |
12040481088/143 |
j-invariant |
L |
6.455591583232 |
L(r)(E,1)/r! |
Ω |
0.38720876515051 |
Real period |
R |
16.672121563443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999693475 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100672ck1 50336v4 9152t1 |
Quadratic twists by: -4 8 -11 |