Atkin-Lehner |
2- 7+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
62608s |
Isogeny class |
Conductor |
62608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-16008671264768 = -1 · 217 · 75 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3 0 7+ -1 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2635,199418] |
[a1,a2,a3,a4,a6] |
Generators |
[1317:11674:27] |
Generators of the group modulo torsion |
j |
-493975742625/3908367008 |
j-invariant |
L |
11.447724931922 |
L(r)(E,1)/r! |
Ω |
0.59761055162752 |
Real period |
R |
4.7889569973611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000234 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826n1 |
Quadratic twists by: -4 |