Atkin-Lehner |
3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
70785u |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-273949974601875 = -1 · 311 · 54 · 114 · 132 |
Discriminant |
Eigenvalues |
2 3- 5+ -1 11- 13- 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,10527,679203] |
[a1,a2,a3,a4,a6] |
j |
12087578624/25666875 |
j-invariant |
L |
3.049694315715 |
L(r)(E,1)/r! |
Ω |
0.38121179115438 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23595t1 70785t1 |
Quadratic twists by: -3 -11 |