Atkin-Lehner |
2+ 3+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
62304h |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
30279744 = 26 · 36 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11- -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-874,-9656] |
[a1,a2,a3,a4,a6] |
Generators |
[91:810:1] |
Generators of the group modulo torsion |
j |
1154981015488/473121 |
j-invariant |
L |
2.6618784026876 |
L(r)(E,1)/r! |
Ω |
0.87799283667613 |
Real period |
R |
3.0317769023503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62304v1 124608z2 |
Quadratic twists by: -4 8 |