Atkin-Lehner |
2- 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
103400w |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
13547520 |
Modular degree for the optimal curve |
Δ |
-8.1259733989185E+21 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11+ 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-298708700,1987105638500] |
[a1,a2,a3,a4,a6] |
Generators |
[70610:1563925:8] |
Generators of the group modulo torsion |
j |
-736897929254151805522944/2031493349729635 |
j-invariant |
L |
7.5811005930302 |
L(r)(E,1)/r! |
Ω |
0.1139138266416 |
Real period |
R |
0.83188985985597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013965 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20680a1 |
Quadratic twists by: 5 |