Atkin-Lehner |
2+ 3+ 5+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
122550i |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
121987786556250000 = 24 · 34 · 58 · 194 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-132375,-7882875] |
[a1,a2,a3,a4,a6] |
Generators |
[-294:2541:1] |
Generators of the group modulo torsion |
j |
16418244983975281/7807218339600 |
j-invariant |
L |
4.3212026448065 |
L(r)(E,1)/r! |
Ω |
0.2622787853431 |
Real period |
R |
2.0594511022606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999449483 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24510u2 |
Quadratic twists by: 5 |