Atkin-Lehner |
2+ 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
11256c |
Isogeny class |
Conductor |
11256 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
15680 |
Modular degree for the optimal curve |
Δ |
-39403406448 = -1 · 24 · 37 · 75 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 3 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1940,33609] |
[a1,a2,a3,a4,a6] |
Generators |
[40:147:1] |
Generators of the group modulo torsion |
j |
-50493184681216/2462712903 |
j-invariant |
L |
4.3692090107774 |
L(r)(E,1)/r! |
Ω |
1.1374462351597 |
Real period |
R |
0.054874920372628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22512e1 90048s1 33768u1 78792f1 |
Quadratic twists by: -4 8 -3 -7 |