Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760n |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
287232 |
Modular degree for the optimal curve |
Δ |
-76826222950400 = -1 · 211 · 52 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ 11- -3 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22627,-1376254] |
[a1,a2,a3,a4,a6] |
Generators |
[4719:2420:27] |
Generators of the group modulo torsion |
j |
-2918322/175 |
j-invariant |
L |
11.883694674971 |
L(r)(E,1)/r! |
Ω |
0.19395741318214 |
Real period |
R |
2.5529003333515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33880j1 67760t1 |
Quadratic twists by: -4 -11 |