Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
74160x |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-1660804300800000 = -1 · 218 · 39 · 55 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -6 -6 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-390123,93809178] |
[a1,a2,a3,a4,a6] |
Generators |
[378:594:1] |
Generators of the group modulo torsion |
j |
-81447383542923/20600000 |
j-invariant |
L |
5.9508351797781 |
L(r)(E,1)/r! |
Ω |
0.46182869404028 |
Real period |
R |
3.221343353969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004878 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9270n1 74160bd1 |
Quadratic twists by: -4 -3 |