Atkin-Lehner |
2+ 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960h |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-700819200 = -1 · 28 · 32 · 52 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -4 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,100,-1248] |
[a1,a2,a3,a4,a6] |
Generators |
[24:120:1] |
Generators of the group modulo torsion |
j |
35152/225 |
j-invariant |
L |
6.2499501747291 |
L(r)(E,1)/r! |
Ω |
0.80329769982767 |
Real period |
R |
1.9450915073827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63480g1 126960d1 |
Quadratic twists by: -4 -23 |