Atkin-Lehner |
2- 3+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630o |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
2309876352000 = 210 · 35 · 53 · 7 · 1032 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3331,9953] |
[a1,a2,a3,a4,a6] |
j |
4087481112712369/2309876352000 |
j-invariant |
L |
3.5274894522237 |
L(r)(E,1)/r! |
Ω |
0.70549789044475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64890bp1 108150bc1 |
Quadratic twists by: -3 5 |