Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932bi |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2446848 |
Modular degree for the optimal curve |
Δ |
-1398596492595456 = -1 · 28 · 39 · 7 · 113 · 313 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14694879,-21681889994] |
[a1,a2,a3,a4,a6] |
Generators |
[29801210:5099726331:1000] |
Generators of the group modulo torsion |
j |
-1880417401897701756112/7494194169 |
j-invariant |
L |
4.9815295213281 |
L(r)(E,1)/r! |
Ω |
0.038554764553564 |
Real period |
R |
10.767215544311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28644t1 |
Quadratic twists by: -3 |