Atkin-Lehner |
2+ 3+ 5- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370d |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
4327680 |
Modular degree for the optimal curve |
Δ |
-3.6861470834688E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -5 6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1323069,1094128325] |
[a1,a2,a3,a4,a6] |
Generators |
[-694:41307:1] |
Generators of the group modulo torsion |
j |
-13013079587328084867/18727567360000000 |
j-invariant |
L |
5.6117019238329 |
L(r)(E,1)/r! |
Ω |
0.15270113765342 |
Real period |
R |
1.3124848240142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80370z1 |
Quadratic twists by: -3 |