Atkin-Lehner |
3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42075bz |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-153363375 = -1 · 38 · 53 · 11 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11+ -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,130,132] |
[a1,a2,a3,a4,a6] |
Generators |
[0:11:1] [22:165:8] |
Generators of the group modulo torsion |
j |
2685619/1683 |
j-invariant |
L |
5.1448595136258 |
L(r)(E,1)/r! |
Ω |
1.1319592536306 |
Real period |
R |
2.2725462498428 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14025k1 42075bv1 |
Quadratic twists by: -3 5 |