Atkin-Lehner |
2- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33418be |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-37319976710632 = -1 · 23 · 76 · 113 · 313 |
Discriminant |
Eigenvalues |
2- 2 0 7- 11+ 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,8182,-68993] |
[a1,a2,a3,a4,a6] |
Generators |
[1918729:26710971:12167] |
Generators of the group modulo torsion |
j |
514885403375/317214568 |
j-invariant |
L |
12.573382313623 |
L(r)(E,1)/r! |
Ω |
0.37541484349067 |
Real period |
R |
11.16398967847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
682a2 |
Quadratic twists by: -7 |