Atkin-Lehner |
2- 3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446br |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
11975040 |
Modular degree for the optimal curve |
Δ |
-2.0993417304083E+24 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -2 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,26125231,-47084008273] |
[a1,a2,a3,a4,a6] |
Generators |
[2961:235678:1] |
Generators of the group modulo torsion |
j |
6981097901137201247/7431949304727552 |
j-invariant |
L |
6.9805912015156 |
L(r)(E,1)/r! |
Ω |
0.044690717049666 |
Real period |
R |
7.0998995096646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61446cn1 |
Quadratic twists by: -7 |