Atkin-Lehner |
2- 3+ 5+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370ba |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
7728000 |
Modular degree for the optimal curve |
Δ |
-3.4683607407474E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 2 -1 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12571958,19359378757] |
[a1,a2,a3,a4,a6] |
j |
-11164548165871386626523/1762109810876088320 |
j-invariant |
L |
5.1565748237231 |
L(r)(E,1)/r! |
Ω |
0.11209945347628 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80370e1 |
Quadratic twists by: -3 |