Atkin-Lehner |
3- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
85701bd |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-70578458643 = -1 · 3 · 79 · 11 · 53 |
Discriminant |
Eigenvalues |
2 3- -2 7- 11- 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-604,13801] |
[a1,a2,a3,a4,a6] |
j |
-207474688/599907 |
j-invariant |
L |
3.8578271820615 |
L(r)(E,1)/r! |
Ω |
0.96445682945983 |
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 |
12243e1 |
Quadratic twists by: -7 |