Atkin-Lehner |
2+ 3+ 5+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98490a |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8386560 |
Modular degree for the optimal curve |
Δ |
-3.9410814288412E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -6 4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1197192,811720512] |
[a1,a2,a3,a4,a6] |
Generators |
[-496:10056:1] |
Generators of the group modulo torsion |
j |
32917757647062071/68364570240000 |
j-invariant |
L |
2.5907086471521 |
L(r)(E,1)/r! |
Ω |
0.11681406411195 |
Real period |
R |
5.5445135483019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010609 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98490y1 |
Quadratic twists by: -7 |