Atkin-Lehner |
2+ 3- 5- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
114570r |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1556480 |
Modular degree for the optimal curve |
Δ |
-92548536962400000 = -1 · 28 · 314 · 55 · 192 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 6 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34614,14853748] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-3806:1] |
Generators of the group modulo torsion |
j |
-6291563864178529/126952725600000 |
j-invariant |
L |
6.6604508693295 |
L(r)(E,1)/r! |
Ω |
0.28476839640472 |
Real period |
R |
1.1694504992865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003302 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38190v1 |
Quadratic twists by: -3 |