Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
114660bl |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3265920 |
Modular degree for the optimal curve |
Δ |
-3.4410934863763E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3177552,-2198345996] |
[a1,a2,a3,a4,a6] |
Generators |
[2213:40095:1] |
Generators of the group modulo torsion |
j |
-3297994276864/31984875 |
j-invariant |
L |
7.0000105713765 |
L(r)(E,1)/r! |
Ω |
0.056506084562547 |
Real period |
R |
3.4411291904235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38220r1 114660t1 |
Quadratic twists by: -3 -7 |