Atkin-Lehner |
2+ 3+ 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350p |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4233145009500 = 22 · 34 · 53 · 116 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5045,-98175] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:221:1] [-35:210:1] |
Generators of the group modulo torsion |
j |
113640126989453/33865160076 |
j-invariant |
L |
7.2092552821894 |
L(r)(E,1)/r! |
Ω |
0.57948832127088 |
Real period |
R |
1.0367271461931 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97350cz2 |
Quadratic twists by: 5 |