Atkin-Lehner |
5- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
61985k |
Isogeny class |
Conductor |
61985 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
7676928 |
Modular degree for the optimal curve |
Δ |
1.1772822134964E+23 |
Discriminant |
Eigenvalues |
2 1 5- 7+ 11+ 4 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-13418960,9239772889] |
[a1,a2,a3,a4,a6] |
Generators |
[396538:88046871:8] |
Generators of the group modulo torsion |
j |
46354937445945511936/20421905517578125 |
j-invariant |
L |
16.334283913614 |
L(r)(E,1)/r! |
Ω |
0.094433782355927 |
Real period |
R |
1.2011858928232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61985e1 |
Quadratic twists by: -7 |