Atkin-Lehner |
2- 23+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
98624m |
Isogeny class |
Conductor |
98624 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1154304 |
Modular degree for the optimal curve |
Δ |
-2130475816844288 = -1 · 210 · 23 · 676 |
Discriminant |
Eigenvalues |
2- 3 -4 -2 2 -1 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,23948,1702040] |
[a1,a2,a3,a4,a6] |
Generators |
[-1257:18827:27] |
Generators of the group modulo torsion |
j |
1483308563118336/2080542789887 |
j-invariant |
L |
7.4120320691868 |
L(r)(E,1)/r! |
Ω |
0.31352062721011 |
Real period |
R |
3.9402149867962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98624f1 24656c1 |
Quadratic twists by: -4 8 |