Atkin-Lehner |
2- 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42550t |
Isogeny class |
Conductor |
42550 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-3.901762617344E+19 |
Discriminant |
Eigenvalues |
2- -3 5+ -4 3 -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3588255,2634314247] |
[a1,a2,a3,a4,a6] |
Generators |
[599:26150:1] |
Generators of the group modulo torsion |
j |
-327004303893965385849/2497128075100160 |
j-invariant |
L |
4.0683087112205 |
L(r)(E,1)/r! |
Ω |
0.20570737341002 |
Real period |
R |
0.047088488622783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8510c1 |
Quadratic twists by: 5 |