Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240gv |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-6.2018390074657E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,426915,1193207517] |
[a1,a2,a3,a4,a6] |
Generators |
[1009:51480:1] |
Generators of the group modulo torsion |
j |
8403244139160283136/605648340572821875 |
j-invariant |
L |
7.0148653990141 |
L(r)(E,1)/r! |
Ω |
0.12407278204228 |
Real period |
R |
5.6538309757644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240es1 28560bh1 |
Quadratic twists by: -4 8 |