Atkin-Lehner |
2+ 3+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100368g |
Isogeny class |
Conductor |
100368 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-301104 = -1 · 24 · 33 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -3 -6 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6,27] |
[a1,a2,a3,a4,a6] |
Generators |
[3:6:1] |
Generators of the group modulo torsion |
j |
-55296/697 |
j-invariant |
L |
5.8546453785351 |
L(r)(E,1)/r! |
Ω |
2.6047100901398 |
Real period |
R |
1.123857392852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939457 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50184t1 100368b1 |
Quadratic twists by: -4 -3 |