Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27600di |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
127724299200000000 = 212 · 38 · 58 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -5 1 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6104208,-5806874412] |
[a1,a2,a3,a4,a6] |
Generators |
[-1428:138:1] |
Generators of the group modulo torsion |
j |
15721420060947505/79827687 |
j-invariant |
L |
5.664370029063 |
L(r)(E,1)/r! |
Ω |
0.096048889973084 |
Real period |
R |
1.2286212674804 |
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 |
1725j1 110400hk1 82800fj1 27600bm1 |
Quadratic twists by: -4 8 -3 5 |