Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57498l |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
50400 |
Modular degree for the optimal curve |
Δ |
-2384557056 = -1 · 210 · 35 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 4 4 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,45,2350] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:48:1] |
Generators of the group modulo torsion |
j |
7599023/1741824 |
j-invariant |
L |
4.8902557557064 |
L(r)(E,1)/r! |
Ω |
1.1233029789021 |
Real period |
R |
0.43534610409342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57498u1 |
Quadratic twists by: 37 |