Atkin-Lehner |
3+ 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
85701b |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
835200 |
Modular degree for the optimal curve |
Δ |
-572760129017307 = -1 · 3 · 73 · 113 · 535 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 11+ -1 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-397765,-96730724] |
[a1,a2,a3,a4,a6] |
j |
-20291352553804855375/1669854603549 |
j-invariant |
L |
1.7109335786401 |
L(r)(E,1)/r! |
Ω |
0.095051862484831 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85701q1 |
Quadratic twists by: -7 |