Atkin-Lehner |
2+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25840k |
Isogeny class |
Conductor |
25840 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
435080307488000 = 28 · 53 · 172 · 196 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 4 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-190380,31893628] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:7220:1] |
Generators of the group modulo torsion |
j |
2980917766431299536/1699532451125 |
j-invariant |
L |
4.1140821816366 |
L(r)(E,1)/r! |
Ω |
0.52299341499407 |
Real period |
R |
0.43702294263997 |
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 |
12920l2 103360bn2 129200s2 |
Quadratic twists by: -4 8 5 |