Atkin-Lehner |
3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123627f |
Isogeny class |
Conductor |
123627 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-298326312587998527 = -1 · 3 · 78 · 297 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-21463,-26315500] |
[a1,a2,a3,a4,a6] |
j |
-15625/4263 |
j-invariant |
L |
1.0987553171864 |
L(r)(E,1)/r! |
Ω |
0.13734447725791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17661g1 4263e1 |
Quadratic twists by: -7 29 |