Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725br |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1497600 |
Modular degree for the optimal curve |
Δ |
-2509327901513671875 = -1 · 32 · 511 · 7 · 138 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -5 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-952033,365256844] |
[a1,a2,a3,a4,a6] |
Generators |
[-772:25312:1] |
Generators of the group modulo torsion |
j |
-7487094784/196875 |
j-invariant |
L |
6.4083352907098 |
L(r)(E,1)/r! |
Ω |
0.25660620313598 |
Real period |
R |
3.1216778951895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17745b1 88725bl1 |
Quadratic twists by: 5 13 |