Atkin-Lehner |
2+ 3- 37+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
52614d |
Isogeny class |
Conductor |
52614 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38272 |
Modular degree for the optimal curve |
Δ |
102281616 = 24 · 37 · 37 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1656,26352] |
[a1,a2,a3,a4,a6] |
Generators |
[12:84:1] |
Generators of the group modulo torsion |
j |
689167345537/140304 |
j-invariant |
L |
3.7303488076376 |
L(r)(E,1)/r! |
Ω |
1.8351289750054 |
Real period |
R |
1.0163723799495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17538i1 |
Quadratic twists by: -3 |