Atkin-Lehner |
2+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
2350g |
Isogeny class |
Conductor |
2350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
448 |
Modular degree for the optimal curve |
Δ |
23500 = 22 · 53 · 47 |
Discriminant |
Eigenvalues |
2+ -3 5- -3 -5 -1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7,1] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] [-1:3:1] |
Generators of the group modulo torsion |
j |
328509/188 |
j-invariant |
L |
1.8736322552326 |
L(r)(E,1)/r! |
Ω |
3.1605876635671 |
Real period |
R |
0.14820283873394 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18800bt1 75200bn1 21150ct1 2350o1 |
Quadratic twists by: -4 8 -3 5 |