Atkin-Lehner |
2+ 3+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
35376f |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
12287075328 = 210 · 35 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11- -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-712,5248] |
[a1,a2,a3,a4,a6] |
Generators |
[6:34:1] |
Generators of the group modulo torsion |
j |
39036741412/11999097 |
j-invariant |
L |
5.8801188548133 |
L(r)(E,1)/r! |
Ω |
1.1737002068835 |
Real period |
R |
2.5049492282304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17688k1 106128l1 |
Quadratic twists by: -4 -3 |