Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41070n |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
-28479563139900 = -1 · 22 · 3 · 52 · 377 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -2 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1398,257428] |
[a1,a2,a3,a4,a6] |
Generators |
[-3212:30323:64] |
Generators of the group modulo torsion |
j |
-117649/11100 |
j-invariant |
L |
6.4913495620802 |
L(r)(E,1)/r! |
Ω |
0.54630252530077 |
Real period |
R |
2.9705837248799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123210cx1 1110o1 |
Quadratic twists by: -3 37 |