Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462ch |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
203461984046445696 = 27 · 311 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 11+ 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-153653,-8113075] |
[a1,a2,a3,a4,a6] |
Generators |
[1479:54016:1] |
Generators of the group modulo torsion |
j |
674636521/342144 |
j-invariant |
L |
7.3245961632219 |
L(r)(E,1)/r! |
Ω |
0.25443237742683 |
Real period |
R |
0.34271413981801 |
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 |
11154t1 33462be1 |
Quadratic twists by: -3 13 |