Atkin-Lehner |
2- 3- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
29694o |
Isogeny class |
Conductor |
29694 |
Conductor |
∏ cp |
238 |
Product of Tamagawa factors cp |
deg |
514080 |
Modular degree for the optimal curve |
Δ |
-196417832283582336 = -1 · 27 · 317 · 76 · 101 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 2 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-64387,22225601] |
[a1,a2,a3,a4,a6] |
Generators |
[536:11639:1] |
Generators of the group modulo torsion |
j |
-250917218570017/1669524027264 |
j-invariant |
L |
9.0686974492656 |
L(r)(E,1)/r! |
Ω |
0.27383269180137 |
Real period |
R |
0.1391498237284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89082p1 606d1 |
Quadratic twists by: -3 -7 |