Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200a |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-76765634560000000 = -1 · 219 · 57 · 374 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,39700,-12978000] |
[a1,a2,a3,a4,a6] |
Generators |
[316734938793:-2976426366207:1548816893] |
Generators of the group modulo torsion |
j |
1689410871/18741610 |
j-invariant |
L |
6.7981521459842 |
L(r)(E,1)/r! |
Ω |
0.16930466929746 |
Real period |
R |
20.076682391965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59200bx3 1850j4 11840o4 |
Quadratic twists by: -4 8 5 |