Atkin-Lehner |
2- 3- 5+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
102510r |
Isogeny class |
Conductor |
102510 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-134513622000000 = -1 · 27 · 310 · 56 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -2 1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3271163,2278018667] |
[a1,a2,a3,a4,a6] |
Generators |
[963:4018:1] |
Generators of the group modulo torsion |
j |
-5310098965488863658601/184518000000 |
j-invariant |
L |
8.9956514525763 |
L(r)(E,1)/r! |
Ω |
0.43028148023969 |
Real period |
R |
0.74665836433538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976302 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34170k1 |
Quadratic twists by: -3 |