Atkin-Lehner |
2+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850h |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
19708416 |
Modular degree for the optimal curve |
Δ |
1.9812866790088E+23 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -4 -5 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24489001,41436116908] |
[a1,a2,a3,a4,a6] |
Generators |
[246130:3524359:125] |
Generators of the group modulo torsion |
j |
552215566319760630625/67362635602812928 |
j-invariant |
L |
3.5802169185611 |
L(r)(E,1)/r! |
Ω |
0.097039927734461 |
Real period |
R |
2.6353047963808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997222906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850de1 18550b1 |
Quadratic twists by: 5 -7 |