Atkin-Lehner |
2- 3+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256bh |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1002240 |
Modular degree for the optimal curve |
Δ |
-130403778604130304 = -1 · 213 · 36 · 7 · 133 · 175 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 0 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-532176,-150257088] |
[a1,a2,a3,a4,a6] |
j |
-4069400507818743889/31836860010774 |
j-invariant |
L |
0.70671255506545 |
L(r)(E,1)/r! |
Ω |
0.08833906745386 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9282t1 |
Quadratic twists by: -4 |