Atkin-Lehner |
2- 3+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
114708c |
Isogeny class |
Conductor |
114708 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2775168 |
Modular degree for the optimal curve |
Δ |
613831770616917072 = 24 · 3 · 1110 · 793 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 11- -3 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-370905,-78224694] |
[a1,a2,a3,a4,a6] |
Generators |
[827:13415:1] |
Generators of the group modulo torsion |
j |
13597720576/1479117 |
j-invariant |
L |
3.8593344525396 |
L(r)(E,1)/r! |
Ω |
0.19482132733733 |
Real period |
R |
6.6032032474692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999701741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114708h1 |
Quadratic twists by: -11 |