Atkin-Lehner |
3+ 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
85701c |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-594764670984561 = -1 · 32 · 79 · 11 · 533 |
Discriminant |
Eigenvalues |
1 3+ -3 7- 11+ -5 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,18301,-677046] |
[a1,a2,a3,a4,a6] |
j |
16796884481/14738823 |
j-invariant |
L |
1.1348465802412 |
L(r)(E,1)/r! |
Ω |
0.28371162138872 |
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 |
85701r1 |
Quadratic twists by: -7 |