Atkin-Lehner |
2+ 3+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
100254n |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1348817316 = -1 · 22 · 3 · 73 · 11 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11- -4 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,136,1716] |
[a1,a2,a3,a4,a6] |
Generators |
[34:200:1] [-6:30:1] |
Generators of the group modulo torsion |
j |
801765089/3932412 |
j-invariant |
L |
5.6123980189653 |
L(r)(E,1)/r! |
Ω |
1.0945587332404 |
Real period |
R |
0.42729532968855 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002786 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100254z1 |
Quadratic twists by: -7 |