Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240da |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-214200000 = -1 · 26 · 32 · 55 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 -3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-141,909] |
[a1,a2,a3,a4,a6] |
Generators |
[12:33:1] |
Generators of the group modulo torsion |
j |
-4878401536/3346875 |
j-invariant |
L |
7.3213410205262 |
L(r)(E,1)/r! |
Ω |
1.6372933883573 |
Real period |
R |
2.2358060712587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114240gd1 1785f1 |
Quadratic twists by: -4 8 |