Atkin-Lehner |
2+ 3- 7- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
74214j |
Isogeny class |
Conductor |
74214 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-8930925682254039996 = -1 · 22 · 39 · 7 · 19 · 318 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,516312,-16943540] |
[a1,a2,a3,a4,a6] |
Generators |
[273:11876:1] [1172:46286:1] |
Generators of the group modulo torsion |
j |
20880090056592805247/12250926861802524 |
j-invariant |
L |
6.9203829329447 |
L(r)(E,1)/r! |
Ω |
0.13606367927406 |
Real period |
R |
3.1788346134049 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000126 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24738j3 |
Quadratic twists by: -3 |