Atkin-Lehner |
2- 3- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
84816o |
Isogeny class |
Conductor |
84816 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-99640684659456 = -1 · 28 · 310 · 193 · 312 |
Discriminant |
Eigenvalues |
2- 3- 1 -5 3 -6 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9912,-612308] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1026:1] [162:1426:1] |
Generators of the group modulo torsion |
j |
-577085415424/533911419 |
j-invariant |
L |
10.167149212438 |
L(r)(E,1)/r! |
Ω |
0.23045041287927 |
Real period |
R |
1.8382749325227 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21204b1 28272h1 |
Quadratic twists by: -4 -3 |