Atkin-Lehner |
2+ 3- 7- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74214m |
Isogeny class |
Conductor |
74214 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2243143433585754756 = 22 · 36 · 74 · 192 · 316 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-166412526,-826238189728] |
[a1,a2,a3,a4,a6] |
j |
699124020511182358008494817/3077014312188964 |
j-invariant |
L |
1.3450952290426 |
L(r)(E,1)/r! |
Ω |
0.042034225664821 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8246f2 |
Quadratic twists by: -3 |