Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240bh |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.4276E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1550719,-97941375] |
[a1,a2,a3,a4,a6] |
Generators |
[1024:50623:1] |
Generators of the group modulo torsion |
j |
1573196002879828319/926055908203125 |
j-invariant |
L |
6.2298246957183 |
L(r)(E,1)/r! |
Ω |
0.10315082297233 |
Real period |
R |
7.5494121964111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000305504 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240iq5 1785o6 |
Quadratic twists by: -4 8 |