Atkin-Lehner |
2+ 3+ 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10614a |
Isogeny class |
Conductor |
10614 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
346752 |
Modular degree for the optimal curve |
Δ |
-1.3701554222886E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -3 -1 7 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,187964,175385872] |
[a1,a2,a3,a4,a6] |
j |
734419395093928663223/13701554222885538624 |
j-invariant |
L |
1.3325127984862 |
L(r)(E,1)/r! |
Ω |
0.16656409981078 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84912y1 31842v1 |
Quadratic twists by: -4 -3 |