Atkin-Lehner |
2- 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
98624l |
Isogeny class |
Conductor |
98624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-103414759424 = -1 · 226 · 23 · 67 |
Discriminant |
Eigenvalues |
2- -3 -1 -4 -2 2 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1172,-944] |
[a1,a2,a3,a4,a6] |
Generators |
[58:512:1] [16:148:1] |
Generators of the group modulo torsion |
j |
679151439/394496 |
j-invariant |
L |
5.122507451798 |
L(r)(E,1)/r! |
Ω |
0.62849323481835 |
Real period |
R |
2.0376143957522 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000396 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98624i1 24656e1 |
Quadratic twists by: -4 8 |