Atkin-Lehner |
2- 3+ 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
78864o |
Isogeny class |
Conductor |
78864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-1251729408 = -1 · 213 · 3 · 312 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 3 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-504,4848] |
[a1,a2,a3,a4,a6] |
Generators |
[2:62:1] |
Generators of the group modulo torsion |
j |
-3463512697/305598 |
j-invariant |
L |
4.0558389567077 |
L(r)(E,1)/r! |
Ω |
1.4992851656461 |
Real period |
R |
0.67629545225502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000168 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9858a1 |
Quadratic twists by: -4 |