Atkin-Lehner |
2+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950h |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
16913283200 = 27 · 52 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 11- 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1172,14416] |
[a1,a2,a3,a4,a6] |
Generators |
[-306:527:8] [3:-106:1] |
Generators of the group modulo torsion |
j |
486635985/46208 |
j-invariant |
L |
8.7646800554553 |
L(r)(E,1)/r! |
Ω |
1.2002487416282 |
Real period |
R |
1.2170643952887 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114950de1 114950cq1 |
Quadratic twists by: 5 -11 |