Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240cc |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
35752890115031040 = 224 · 36 · 5 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-557384065,5065191475585] |
[a1,a2,a3,a4,a6] |
Generators |
[232276739194399:-17204448769596:17034106517] |
Generators of the group modulo torsion |
j |
73054578035931991395831649/136386452160 |
j-invariant |
L |
6.644115770535 |
L(r)(E,1)/r! |
Ω |
0.16771285411772 |
Real period |
R |
19.80801000549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999784904 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240jp5 3570v5 |
Quadratic twists by: -4 8 |