Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785t |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
-4.8531909095567E+20 |
Discriminant |
Eigenvalues |
-2 3- 5+ 1 11- 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1273767,-904019526] |
[a1,a2,a3,a4,a6] |
Generators |
[1094:42412:1] |
Generators of the group modulo torsion |
j |
12087578624/25666875 |
j-invariant |
L |
2.4671314360254 |
L(r)(E,1)/r! |
Ω |
0.086239175173389 |
Real period |
R |
3.5760016114469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003673 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23595q1 70785u1 |
Quadratic twists by: -3 -11 |