Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240be |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
-209820049367040000 = -1 · 216 · 316 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1749441,891485505] |
[a1,a2,a3,a4,a6] |
Generators |
[521:11008:1] |
Generators of the group modulo torsion |
j |
-9035286561666509764/3201599874375 |
j-invariant |
L |
5.7356751403869 |
L(r)(E,1)/r! |
Ω |
0.31031832711043 |
Real period |
R |
4.6207995249543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ik1 14280z1 |
Quadratic twists by: -4 8 |