Atkin-Lehner |
2+ 5+ 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
75850d |
Isogeny class |
Conductor |
75850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-4922601001562500 = -1 · 22 · 58 · 374 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -2 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15901,-3464052] |
[a1,a2,a3,a4,a6] |
Generators |
[232:2196:1] |
Generators of the group modulo torsion |
j |
-28453633725889/315046464100 |
j-invariant |
L |
2.0897888338435 |
L(r)(E,1)/r! |
Ω |
0.18391975858413 |
Real period |
R |
0.7101564454372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008686 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15170j2 |
Quadratic twists by: 5 |