Atkin-Lehner |
2+ 3- 7+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354m |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4030464 |
Modular degree for the optimal curve |
Δ |
-5.6102532045838E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4757562,-4009188960] |
[a1,a2,a3,a4,a6] |
Generators |
[9188374:482884310:2197] |
Generators of the group modulo torsion |
j |
-16336145963091373854625/76958205824195388 |
j-invariant |
L |
4.7364953116132 |
L(r)(E,1)/r! |
Ω |
0.051097664387531 |
Real period |
R |
11.586868582477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998618695 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41118t1 |
Quadratic twists by: -3 |