Atkin-Lehner |
2- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
117208p |
Isogeny class |
Conductor |
117208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-21621785459456 = -1 · 28 · 710 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 1 1 7- -5 13+ 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23585,-1419853] |
[a1,a2,a3,a4,a6] |
Generators |
[317:-4802:1] [69879:3549266:27] |
Generators of the group modulo torsion |
j |
-48174982144/717899 |
j-invariant |
L |
13.946299597888 |
L(r)(E,1)/r! |
Ω |
0.19245285461249 |
Real period |
R |
9.0582571668117 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16744k1 |
Quadratic twists by: -7 |