Atkin-Lehner |
2+ 3+ 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15810a |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6528 |
Modular degree for the optimal curve |
Δ |
-416593500 = -1 · 22 · 3 · 53 · 172 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-343,2497] |
[a1,a2,a3,a4,a6] |
Generators |
[9:11:1] |
Generators of the group modulo torsion |
j |
-4483146738169/416593500 |
j-invariant |
L |
2.7104342596367 |
L(r)(E,1)/r! |
Ω |
1.6413862808755 |
Real period |
R |
0.82565398870974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126480bq1 47430bh1 79050ca1 |
Quadratic twists by: -4 -3 5 |