Atkin-Lehner |
2+ 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270h |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-1154912450851170 = -1 · 2 · 35 · 5 · 117 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- 4 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,25892,330202] |
[a1,a2,a3,a4,a6] |
j |
1083523132511/651917970 |
j-invariant |
L |
1.1964468270602 |
L(r)(E,1)/r! |
Ω |
0.29911165953744 |
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 |
9570q1 |
Quadratic twists by: -11 |