Atkin-Lehner |
2+ 5+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050d |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-85047868281250000 = -1 · 24 · 510 · 73 · 174 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -2 5 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42617,14444541] |
[a1,a2,a3,a4,a6] |
j |
-876552685425/8708901712 |
j-invariant |
L |
1.1635499390915 |
L(r)(E,1)/r! |
Ω |
0.29088737708393 |
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 |
113050cy1 |
Quadratic twists by: 5 |