Atkin-Lehner |
3+ 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
98049f |
Isogeny class |
Conductor |
98049 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-114742293569547 = -1 · 3 · 711 · 23 · 292 |
Discriminant |
Eigenvalues |
0 3+ 4 7- -5 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,11989,97649] |
[a1,a2,a3,a4,a6] |
Generators |
[1745:64593:125] |
Generators of the group modulo torsion |
j |
1619750518784/975293403 |
j-invariant |
L |
6.3517455768416 |
L(r)(E,1)/r! |
Ω |
0.36267199634206 |
Real period |
R |
4.3784367395584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006407 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14007h1 |
Quadratic twists by: -7 |