Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
41832o |
Isogeny class |
Conductor |
41832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
-32126976 = -1 · 211 · 33 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -3 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27,278] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:18:1] |
Generators of the group modulo torsion |
j |
-39366/581 |
j-invariant |
L |
6.4368868757031 |
L(r)(E,1)/r! |
Ω |
1.7593756296757 |
Real period |
R |
1.8293100026875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83664e1 41832e1 |
Quadratic twists by: -4 -3 |