Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
35376bg |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
8262783074304 = 222 · 35 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7304,-198924] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:198:1] |
Generators of the group modulo torsion |
j |
10522174895497/2017281024 |
j-invariant |
L |
5.4108138238486 |
L(r)(E,1)/r! |
Ω |
0.52329737444303 |
Real period |
R |
1.0339845158994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4422b1 106128bi1 |
Quadratic twists by: -4 -3 |