Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
3381g |
Isogeny class |
Conductor |
3381 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9408 |
Modular degree for the optimal curve |
Δ |
-14208787499949 = -1 · 37 · 710 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 3 7- -2 1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33664,-2398306] |
[a1,a2,a3,a4,a6] |
Generators |
[4829734:223281586:2197] |
Generators of the group modulo torsion |
j |
-14936239633/50301 |
j-invariant |
L |
2.2680749183113 |
L(r)(E,1)/r! |
Ω |
0.17619374798714 |
Real period |
R |
12.87261860436 |
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 |
54096cv1 10143o1 84525bv1 3381l1 |
Quadratic twists by: -4 -3 5 -7 |