Atkin-Lehner |
2- 3- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
78498bo |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-83186136054 = -1 · 2 · 37 · 74 · 892 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -1 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-118418,-15654985] |
[a1,a2,a3,a4,a6] |
j |
-104918905417081/47526 |
j-invariant |
L |
4.1178012777547 |
L(r)(E,1)/r! |
Ω |
0.12868128920364 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26166g1 78498bs1 |
Quadratic twists by: -3 -7 |