Atkin-Lehner |
2+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10336d |
Isogeny class |
Conductor |
10336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
6677056 = 26 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 0 2 0 4 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-109,-420] |
[a1,a2,a3,a4,a6] |
Generators |
[36744:307785:512] |
Generators of the group modulo torsion |
j |
2237810112/104329 |
j-invariant |
L |
5.2573145307067 |
L(r)(E,1)/r! |
Ω |
1.4818194666483 |
Real period |
R |
7.0957557908159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10336k1 20672m2 93024bd1 |
Quadratic twists by: -4 8 -3 |