Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fy |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
262144 |
Modular degree for the optimal curve |
Δ |
-61689600000000 = -1 · 214 · 34 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9519,-125775] |
[a1,a2,a3,a4,a6] |
Generators |
[21:288:1] [111:1512:1] |
Generators of the group modulo torsion |
j |
5821462825904/3765234375 |
j-invariant |
L |
9.9246032437548 |
L(r)(E,1)/r! |
Ω |
0.35620057789756 |
Real period |
R |
6.9656001868299 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999959155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240cy1 28560bu1 |
Quadratic twists by: -4 8 |