Atkin-Lehner |
2+ 3+ 5+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
102510c |
Isogeny class |
Conductor |
102510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
52280100 = 22 · 33 · 52 · 172 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1200,16300] |
[a1,a2,a3,a4,a6] |
Generators |
[18:8:1] |
Generators of the group modulo torsion |
j |
7081206278427/1936300 |
j-invariant |
L |
3.7297345521885 |
L(r)(E,1)/r! |
Ω |
1.9509030614414 |
Real period |
R |
0.47794975221283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034747 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102510k1 |
Quadratic twists by: -3 |