Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27600r |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2755584 |
Modular degree for the optimal curve |
Δ |
1.9793204181299E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -5 3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19525408,32517768112] |
[a1,a2,a3,a4,a6] |
Generators |
[175246:73338858:1] |
Generators of the group modulo torsion |
j |
1286305460227974664900/30926881533278943 |
j-invariant |
L |
3.1376624771862 |
L(r)(E,1)/r! |
Ω |
0.12154239956439 |
Real period |
R |
2.1512811499195 |
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 |
13800ba1 110400js1 82800bz1 27600v1 |
Quadratic twists by: -4 8 -3 5 |