Atkin-Lehner |
2- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
40700a |
Isogeny class |
Conductor |
40700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-414122500000000 = -1 · 28 · 510 · 112 · 372 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8425,932750] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-1250:1] |
Generators of the group modulo torsion |
j |
16533829296/103530625 |
j-invariant |
L |
4.7354817658718 |
L(r)(E,1)/r! |
Ω |
0.38512276441475 |
Real period |
R |
1.0246693183382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8140a2 |
Quadratic twists by: 5 |