Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26640l |
Isogeny class |
Conductor |
26640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-2071526400 = -1 · 210 · 37 · 52 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,213,1834] |
[a1,a2,a3,a4,a6] |
Generators |
[3:50:1] |
Generators of the group modulo torsion |
j |
1431644/2775 |
j-invariant |
L |
6.3041019267355 |
L(r)(E,1)/r! |
Ω |
1.0134806672624 |
Real period |
R |
1.555062205519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13320f1 106560es1 8880e1 |
Quadratic twists by: -4 8 -3 |