Atkin-Lehner |
2- 3- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61272k |
Isogeny class |
Conductor |
61272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1124480 |
Modular degree for the optimal curve |
Δ |
6845919467887872 = 28 · 36 · 232 · 375 |
Discriminant |
Eigenvalues |
2- 3- 0 3 5 0 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5735700,-5287223052] |
[a1,a2,a3,a4,a6] |
Generators |
[1839960935001:400243302215:665338617] |
Generators of the group modulo torsion |
j |
111818973794544000000/36682953253 |
j-invariant |
L |
7.9240825840711 |
L(r)(E,1)/r! |
Ω |
0.097555768904843 |
Real period |
R |
20.306545356124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122544j1 6808d1 |
Quadratic twists by: -4 -3 |