Atkin-Lehner |
2+ 5+ 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
75850c |
Isogeny class |
Conductor |
75850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-14383056250000 = -1 · 24 · 58 · 372 · 412 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 2 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1817,185341] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:473:1] |
Generators of the group modulo torsion |
j |
-42472019169/920515600 |
j-invariant |
L |
5.3764363204641 |
L(r)(E,1)/r! |
Ω |
0.5906247548945 |
Real period |
R |
1.1378705933338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965565 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15170h2 |
Quadratic twists by: 5 |