Atkin-Lehner |
2- 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
115444a |
Isogeny class |
Conductor |
115444 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1345680 |
Modular degree for the optimal curve |
Δ |
113280193978948864 = 28 · 78 · 195 · 31 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 6 1 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-158237,17968271] |
[a1,a2,a3,a4,a6] |
Generators |
[-23074977310:228292202753:57066625] |
Generators of the group modulo torsion |
j |
296911003648/76759069 |
j-invariant |
L |
5.7234673704968 |
L(r)(E,1)/r! |
Ω |
0.31158919735032 |
Real period |
R |
18.368632106758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000062775 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115444h1 |
Quadratic twists by: -7 |