Atkin-Lehner |
3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
114873i |
Isogeny class |
Conductor |
114873 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
203040 |
Modular degree for the optimal curve |
Δ |
-1003150413243 = -1 · 39 · 114 · 592 |
Discriminant |
Eigenvalues |
-2 3- 0 0 11+ 2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3048,-81754] |
[a1,a2,a3,a4,a6] |
Generators |
[147:-1634:1] |
Generators of the group modulo torsion |
j |
-899926528000/288178803 |
j-invariant |
L |
3.423391134882 |
L(r)(E,1)/r! |
Ω |
0.31609650625019 |
Real period |
R |
0.60167825739373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114873j1 |
Quadratic twists by: -59 |