Atkin-Lehner |
2- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10336i |
Isogeny class |
Conductor |
10336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
40977092672 = 26 · 173 · 194 |
Discriminant |
Eigenvalues |
2- 0 -4 2 0 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1397,17580] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:152:1] |
Generators of the group modulo torsion |
j |
4711215351744/640267073 |
j-invariant |
L |
3.3056982034494 |
L(r)(E,1)/r! |
Ω |
1.1026026935677 |
Real period |
R |
1.499043228687 |
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 |
10336a1 20672c1 93024u1 |
Quadratic twists by: -4 8 -3 |