Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608fk |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-19520022380544 = -1 · 226 · 37 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1716,-210800] |
[a1,a2,a3,a4,a6] |
Generators |
[1302260370:27005034496:3048625] |
Generators of the group modulo torsion |
j |
2924207/102144 |
j-invariant |
L |
8.3346839020347 |
L(r)(E,1)/r! |
Ω |
0.32998902638022 |
Real period |
R |
12.628728890653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999303 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608bb1 19152bu1 25536dp1 |
Quadratic twists by: -4 8 -3 |