Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
26640v |
Isogeny class |
Conductor |
26640 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-2454043805614080000 = -1 · 221 · 33 · 54 · 375 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 1 1 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-997323,390694522] |
[a1,a2,a3,a4,a6] |
Generators |
[197:14208:1] |
Generators of the group modulo torsion |
j |
-991990479802737267/22190066240000 |
j-invariant |
L |
5.8568100974259 |
L(r)(E,1)/r! |
Ω |
0.25751482118262 |
Real period |
R |
0.28429480634011 |
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 |
3330o1 106560dw1 26640ba1 |
Quadratic twists by: -4 8 -3 |