Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240cy |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
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 |
[51:864:1] |
Generators of the group modulo torsion |
j |
5821462825904/3765234375 |
j-invariant |
L |
7.4791866029034 |
L(r)(E,1)/r! |
Ω |
0.38884039724593 |
Real period |
R |
2.4043240626777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018434 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240fy1 14280bh1 |
Quadratic twists by: -4 8 |