Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26640x |
Isogeny class |
Conductor |
26640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-20459520 = -1 · 212 · 33 · 5 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48,176] |
[a1,a2,a3,a4,a6] |
Generators |
[1:15:1] |
Generators of the group modulo torsion |
j |
110592/185 |
j-invariant |
L |
5.0698304169681 |
L(r)(E,1)/r! |
Ω |
1.4765586999197 |
Real period |
R |
1.7167723901677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1665b1 106560dr1 26640s1 |
Quadratic twists by: -4 8 -3 |