Atkin-Lehner |
3- 5+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
60225o |
Isogeny class |
Conductor |
60225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
2940673828125 = 3 · 513 · 11 · 73 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11+ -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8383,280894] |
[a1,a2,a3,a4,a6] |
Generators |
[1034:9371:8] [28:262:1] |
Generators of the group modulo torsion |
j |
4170171252736/188203125 |
j-invariant |
L |
9.2976596064018 |
L(r)(E,1)/r! |
Ω |
0.79401922778714 |
Real period |
R |
2.9274037961016 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12045a1 |
Quadratic twists by: 5 |