Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400by |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
354308951206800 = 24 · 317 · 52 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44535,-3502235] |
[a1,a2,a3,a4,a6] |
Generators |
[-14780:41553:125] |
Generators of the group modulo torsion |
j |
33499672587520/1215051273 |
j-invariant |
L |
7.3756675719963 |
L(r)(E,1)/r! |
Ω |
0.32937588288604 |
Real period |
R |
1.8660715499661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34200s1 22800bd1 68400cr1 |
Quadratic twists by: -4 -3 5 |