Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123627s |
Isogeny class |
Conductor |
123627 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
159751104497649 = 33 · 73 · 297 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-97994,11783379] |
[a1,a2,a3,a4,a6] |
Generators |
[193:166:1] |
Generators of the group modulo torsion |
j |
510082399/783 |
j-invariant |
L |
4.8323672982587 |
L(r)(E,1)/r! |
Ω |
0.57491599011287 |
Real period |
R |
2.8017816383004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000021577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123627h1 4263c1 |
Quadratic twists by: -7 29 |