Atkin-Lehner |
2+ 7- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53998d |
Isogeny class |
Conductor |
53998 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-47315734108496 = -1 · 24 · 710 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3 1 7- -3 5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9319,-476659] |
[a1,a2,a3,a4,a6] |
Generators |
[3162:2927:27] |
Generators of the group modulo torsion |
j |
-760798453689/402177104 |
j-invariant |
L |
8.9794718856041 |
L(r)(E,1)/r! |
Ω |
0.23707487235752 |
Real period |
R |
4.7345126648385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7714c1 |
Quadratic twists by: -7 |