Atkin-Lehner |
2+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
115520g |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
1391293484318720 = 214 · 5 · 198 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 -1 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36581,-1995715] |
[a1,a2,a3,a4,a6] |
Generators |
[-821341836:5397810263:6751269] |
Generators of the group modulo torsion |
j |
19456/5 |
j-invariant |
L |
12.375319822065 |
L(r)(E,1)/r! |
Ω |
0.35176441096408 |
Real period |
R |
11.726901529783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520br1 14440d1 115520o1 |
Quadratic twists by: -4 8 -19 |