Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688cf |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-82403241984 = -1 · 212 · 32 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -1 -2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1829,33741] |
[a1,a2,a3,a4,a6] |
Generators |
[20:69:1] |
Generators of the group modulo torsion |
j |
-1404928/171 |
j-invariant |
L |
6.1249085871545 |
L(r)(E,1)/r! |
Ω |
1.0498916693605 |
Real period |
R |
2.9169240817383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2793l1 912l1 |
Quadratic twists by: -4 -7 |