Atkin-Lehner |
2- 3+ 7+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
79254u |
Isogeny class |
Conductor |
79254 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
118699909748195328 = 215 · 33 · 78 · 17 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8907344,-10229992909] |
[a1,a2,a3,a4,a6] |
Generators |
[13285:1481977:1] |
Generators of the group modulo torsion |
j |
2894706773118521383802499/4396292953636864 |
j-invariant |
L |
10.646627778129 |
L(r)(E,1)/r! |
Ω |
0.087390161473774 |
Real period |
R |
4.0609559088874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79254b2 |
Quadratic twists by: -3 |