Atkin-Lehner |
2+ 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
27450f |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-187603593750 = -1 · 2 · 39 · 57 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 0 -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23667,1407491] |
[a1,a2,a3,a4,a6] |
Generators |
[109:-392:1] [-161:1093:1] |
Generators of the group modulo torsion |
j |
-4767078987/610 |
j-invariant |
L |
5.7706131788838 |
L(r)(E,1)/r! |
Ω |
0.97230244819008 |
Real period |
R |
0.74187476201803 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27450bi1 5490p1 |
Quadratic twists by: -3 5 |