Atkin-Lehner |
2- 3+ 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
90768g |
Isogeny class |
Conductor |
90768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-502568619264 = -1 · 28 · 32 · 312 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 1 -1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-564,-34308] |
[a1,a2,a3,a4,a6] |
Generators |
[489:10788:1] |
Generators of the group modulo torsion |
j |
-77640952912/1963158669 |
j-invariant |
L |
6.3972744305247 |
L(r)(E,1)/r! |
Ω |
0.40298267877405 |
Real period |
R |
3.968703101678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002864 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22692e1 |
Quadratic twists by: -4 |