Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
630c |
Isogeny class |
Conductor |
630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
262549350 = 2 · 37 · 52 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17287200,27669604050] |
[a1,a2,a3,a4,a6] |
j |
783736670177727068275201/360150 |
j-invariant |
L |
0.99512756202184 |
L(r)(E,1)/r! |
Ω |
0.49756378101092 |
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 |
5040bi7 20160ce7 210e7 3150bk7 |
Quadratic twists by: -4 8 -3 5 |