Atkin-Lehner |
2- 3- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
112464z |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
819200 |
Modular degree for the optimal curve |
Δ |
2765631223517184 = 212 · 310 · 115 · 71 |
Discriminant |
Eigenvalues |
2- 3- -3 3 11+ -5 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99984,-11902736] |
[a1,a2,a3,a4,a6] |
Generators |
[-12988:11097:64] |
Generators of the group modulo torsion |
j |
37019262103552/926204301 |
j-invariant |
L |
6.0652690799975 |
L(r)(E,1)/r! |
Ω |
0.26889297518904 |
Real period |
R |
5.6391107569248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7029j1 37488bd1 |
Quadratic twists by: -4 -3 |