Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
94192bb |
Isogeny class |
Conductor |
94192 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
751680 |
Modular degree for the optimal curve |
Δ |
-114744521219342336 = -1 · 215 · 7 · 298 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 0 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-430872,-109930256] |
[a1,a2,a3,a4,a6] |
Generators |
[19626:932669:8] |
Generators of the group modulo torsion |
j |
-4317433/56 |
j-invariant |
L |
2.7067079722132 |
L(r)(E,1)/r! |
Ω |
0.093099460153516 |
Real period |
R |
4.845549024125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999351707 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11774c1 94192n1 |
Quadratic twists by: -4 29 |