Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ev |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-22036142016000000 = -1 · 212 · 310 · 56 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73225,10424375] |
[a1,a2,a3,a4,a6] |
Generators |
[323:-4536:1] [-265:3360:1] |
Generators of the group modulo torsion |
j |
-10601024450147776/5379917484375 |
j-invariant |
L |
14.302662904253 |
L(r)(E,1)/r! |
Ω |
0.35543801932171 |
Real period |
R |
0.22355300797521 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999985956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240bw1 57120f1 |
Quadratic twists by: -4 8 |