Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
27600o |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
310500000000 = 28 · 33 · 59 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25708,1594912] |
[a1,a2,a3,a4,a6] |
Generators |
[141:868:1] |
Generators of the group modulo torsion |
j |
3758161808/621 |
j-invariant |
L |
4.252012646823 |
L(r)(E,1)/r! |
Ω |
0.9370615765715 |
Real period |
R |
4.5376021737869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13800q1 110400jf1 82800bs1 27600bb1 |
Quadratic twists by: -4 8 -3 5 |