Atkin-Lehner |
2+ 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
78694l |
Isogeny class |
Conductor |
78694 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-4112280354094528 = -1 · 26 · 77 · 114 · 732 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,22270,2816948] |
[a1,a2,a3,a4,a6] |
j |
10381632518375/34953806272 |
j-invariant |
L |
2.4867517528442 |
L(r)(E,1)/r! |
Ω |
0.31084397813468 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11242e1 |
Quadratic twists by: -7 |