Atkin-Lehner |
2+ 3- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
62814g |
Isogeny class |
Conductor |
62814 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
81188582309892 = 22 · 33 · 197 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 0 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10838,-26188] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:583:1] |
Generators of the group modulo torsion |
j |
2992209121/1725732 |
j-invariant |
L |
3.1250620968584 |
L(r)(E,1)/r! |
Ω |
0.51014120030864 |
Real period |
R |
0.51048972568849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3306g1 |
Quadratic twists by: -19 |