Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400cf |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-57750000 = -1 · 24 · 3 · 56 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 5 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,363] |
[a1,a2,a3,a4,a6] |
Generators |
[345:2403:125] |
Generators of the group modulo torsion |
j |
-256/231 |
j-invariant |
L |
9.0709654633384 |
L(r)(E,1)/r! |
Ω |
1.5993561077236 |
Real period |
R |
5.6716358638531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46200k1 3696f1 |
Quadratic twists by: -4 5 |