Atkin-Lehner |
2+ 3- 5+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
62730j |
Isogeny class |
Conductor |
62730 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
942080 |
Modular degree for the optimal curve |
Δ |
50948531159040000 = 220 · 38 · 54 · 172 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-96795,4076325] |
[a1,a2,a3,a4,a6] |
Generators |
[295:915:1] |
Generators of the group modulo torsion |
j |
137580689011385521/69888245760000 |
j-invariant |
L |
3.717933572818 |
L(r)(E,1)/r! |
Ω |
0.31436062019451 |
Real period |
R |
2.9567424590761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20910p1 |
Quadratic twists by: -3 |