Atkin-Lehner |
2+ 5+ 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
24310g |
Isogeny class |
Conductor |
24310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12717441994400 = 25 · 52 · 114 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 11- 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-56195,-5110475] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:110:1] |
Generators of the group modulo torsion |
j |
19625516081291894409/12717441994400 |
j-invariant |
L |
2.257511131153 |
L(r)(E,1)/r! |
Ω |
0.31009278817169 |
Real period |
R |
0.91001436395188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121550bv4 |
Quadratic twists by: 5 |