Atkin-Lehner |
2- 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
98368g |
Isogeny class |
Conductor |
98368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
198656 |
Modular degree for the optimal curve |
Δ |
-4913350967296 = -1 · 217 · 294 · 53 |
Discriminant |
Eigenvalues |
2- 2 1 2 5 4 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17665,915873] |
[a1,a2,a3,a4,a6] |
Generators |
[69:144:1] |
Generators of the group modulo torsion |
j |
-4651352954498/37485893 |
j-invariant |
L |
12.994039077104 |
L(r)(E,1)/r! |
Ω |
0.77303854649302 |
Real period |
R |
2.1011305197176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010364 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98368c1 24592a1 |
Quadratic twists by: -4 8 |