Atkin-Lehner |
2- 3- 5- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
102510w |
Isogeny class |
Conductor |
102510 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
266240 |
Modular degree for the optimal curve |
Δ |
27102003840000 = 210 · 37 · 54 · 172 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8492,169391] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:229:1] [-642:4907:8] |
Generators of the group modulo torsion |
j |
92891974472569/37176960000 |
j-invariant |
L |
16.485089356976 |
L(r)(E,1)/r! |
Ω |
0.60582253913782 |
Real period |
R |
0.34013857793956 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000783 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34170h1 |
Quadratic twists by: -3 |