Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520by |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4229532192328908800 = -1 · 219 · 52 · 199 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64229601,-198108940415] |
[a1,a2,a3,a4,a6] |
Generators |
[802911:132790240:27] |
Generators of the group modulo torsion |
j |
-2376117230685121/342950 |
j-invariant |
L |
3.7814979591889 |
L(r)(E,1)/r! |
Ω |
0.026664641474514 |
Real period |
R |
4.4317794120854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000178322 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520k2 28880bf2 6080p2 |
Quadratic twists by: -4 8 -19 |