Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
55272s |
Isogeny class |
Conductor |
55272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
798371761152 = 210 · 3 · 76 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2368,11740] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:188:1] [294:4964:1] |
Generators of the group modulo torsion |
j |
12194500/6627 |
j-invariant |
L |
8.3396374970956 |
L(r)(E,1)/r! |
Ω |
0.78004309090417 |
Real period |
R |
5.3456261547231 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110544bf2 1128f2 |
Quadratic twists by: -4 -7 |