Atkin-Lehner |
2+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150bf |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-230300000000 = -1 · 28 · 58 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -6 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1534950,-732603500] |
[a1,a2,a3,a4,a6] |
j |
-20895402396169945/12032 |
j-invariant |
L |
1.2207265856541 |
L(r)(E,1)/r! |
Ω |
0.067818153951683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150bw1 115150t1 |
Quadratic twists by: 5 -7 |