Atkin-Lehner |
5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
34385m |
Isogeny class |
Conductor |
34385 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
11175125 = 53 · 132 · 232 |
Discriminant |
Eigenvalues |
-2 -2 5- -4 -3 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-130,506] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:-33:1] [-7:33:1] |
Generators of the group modulo torsion |
j |
462843904/21125 |
j-invariant |
L |
2.8729667696004 |
L(r)(E,1)/r! |
Ω |
2.2460905197727 |
Real period |
R |
0.21318276833382 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34385f1 |
Quadratic twists by: -23 |