Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3150l |
Isogeny class |
Conductor |
3150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-318937500 = -1 · 22 · 36 · 56 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117,-959] |
[a1,a2,a3,a4,a6] |
j |
-15625/28 |
j-invariant |
L |
1.3689614658224 |
L(r)(E,1)/r! |
Ω |
0.68448073291121 |
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 |
25200eh1 100800da1 350d1 126a1 |
Quadratic twists by: -4 8 -3 5 |