Atkin-Lehner |
3+ 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
85701l |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-25619980487409 = -1 · 32 · 79 · 113 · 53 |
Discriminant |
Eigenvalues |
1 3+ 3 7- 11- -7 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1199006,504836697] |
[a1,a2,a3,a4,a6] |
Generators |
[608:725:1] |
Generators of the group modulo torsion |
j |
-4723957558094671/634887 |
j-invariant |
L |
7.2635832539183 |
L(r)(E,1)/r! |
Ω |
0.5219368458725 |
Real period |
R |
1.1597161779934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85701y1 |
Quadratic twists by: -7 |