Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225x |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
185040703125 = 38 · 57 · 192 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 3 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3895950,-2959839594] |
[a1,a2,a3,a4,a6] |
Generators |
[-1245248370:-535726:1092727] |
Generators of the group modulo torsion |
j |
1590409933520896/45 |
j-invariant |
L |
4.0337492398175 |
L(r)(E,1)/r! |
Ω |
0.10745984530379 |
Real period |
R |
9.3843175250834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27075p2 16245b2 81225o2 |
Quadratic twists by: -3 5 -19 |