Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10350bw |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
377257500 = 22 · 38 · 54 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 3 -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-230,-903] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:21:1] |
Generators of the group modulo torsion |
j |
2941225/828 |
j-invariant |
L |
5.8493103826747 |
L(r)(E,1)/r! |
Ω |
1.2525126322713 |
Real period |
R |
1.1675152473448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82800fl1 3450f1 10350n1 |
Quadratic twists by: -4 -3 5 |