Atkin-Lehner |
2- 3+ 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61752l |
Isogeny class |
Conductor |
61752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
51456 |
Modular degree for the optimal curve |
Δ |
58868922624 = 28 · 3 · 314 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1364,-15036] |
[a1,a2,a3,a4,a6] |
Generators |
[3142:176080:1] |
Generators of the group modulo torsion |
j |
1097097477712/229956729 |
j-invariant |
L |
3.8187283614289 |
L(r)(E,1)/r! |
Ω |
0.79716275084526 |
Real period |
R |
4.7903998994613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998049 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123504l1 |
Quadratic twists by: -4 |