Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
98568x |
Isogeny class |
Conductor |
98568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13810176 |
Modular degree for the optimal curve |
Δ |
-5.1609846808293E+22 |
Discriminant |
Eigenvalues |
2- 3- -4 1 2 3 -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20210547,36639847550] |
[a1,a2,a3,a4,a6] |
Generators |
[12739:1358856:1] |
Generators of the group modulo torsion |
j |
-348190276/19683 |
j-invariant |
L |
4.3215210761094 |
L(r)(E,1)/r! |
Ω |
0.11093645001653 |
Real period |
R |
4.8693655994473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32856d1 98568j1 |
Quadratic twists by: -3 37 |