Atkin-Lehner |
5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10675f |
Isogeny class |
Conductor |
10675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
326921875 = 56 · 73 · 61 |
Discriminant |
Eigenvalues |
1 -1 5+ 7- -5 -4 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-700,-7375] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:15:1] [40:155:1] |
Generators of the group modulo torsion |
j |
2433138625/20923 |
j-invariant |
L |
6.2120488812433 |
L(r)(E,1)/r! |
Ω |
0.92847367598498 |
Real period |
R |
1.115100521411 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96075be1 427c1 74725m1 |
Quadratic twists by: -3 5 -7 |