Atkin-Lehner |
2+ 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79040bc |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-85489664000 = -1 · 214 · 53 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5- 3 -2 13- 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24785,1510225] |
[a1,a2,a3,a4,a6] |
Generators |
[75:260:1] |
Generators of the group modulo torsion |
j |
-102775137127504/5217875 |
j-invariant |
L |
6.4039350844998 |
L(r)(E,1)/r! |
Ω |
1.0171279271922 |
Real period |
R |
0.3497831117169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992596 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79040cf1 9880b1 |
Quadratic twists by: -4 8 |