Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
72324i |
Isogeny class |
Conductor |
72324 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
514080 |
Modular degree for the optimal curve |
Δ |
5538544182588816 = 24 · 36 · 710 · 412 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 5 2 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-223293,40454449] |
[a1,a2,a3,a4,a6] |
j |
373698304/1681 |
j-invariant |
L |
3.4428026410668 |
L(r)(E,1)/r! |
Ω |
0.43035032774054 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8036e1 72324d1 |
Quadratic twists by: -3 -7 |