Atkin-Lehner |
2+ 3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
83904h |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-514099875151872 = -1 · 220 · 310 · 192 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,703,1091103] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:684:1] |
Generators of the group modulo torsion |
j |
146363183/1961135388 |
j-invariant |
L |
10.118427762405 |
L(r)(E,1)/r! |
Ω |
0.41178168009357 |
Real period |
R |
1.2286155809482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000164 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83904bh1 2622d1 |
Quadratic twists by: -4 8 |