Atkin-Lehner |
2- 3+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
114798m |
Isogeny class |
Conductor |
114798 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2699520 |
Modular degree for the optimal curve |
Δ |
7388257528347984 = 24 · 33 · 199 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 -6 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3637985,-2672300977] |
[a1,a2,a3,a4,a6] |
Generators |
[63639735:8660774338:3375] |
Generators of the group modulo torsion |
j |
16501522777579/22896 |
j-invariant |
L |
9.0784526030204 |
L(r)(E,1)/r! |
Ω |
0.10931615913734 |
Real period |
R |
10.380959045936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114798i1 |
Quadratic twists by: -19 |