Atkin-Lehner |
2+ 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57498g |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-1064977956 = -1 · 22 · 34 · 74 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -4 2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,231,-711] |
[a1,a2,a3,a4,a6] |
Generators |
[3:3:1] [12:-69:1] |
Generators of the group modulo torsion |
j |
989043263/777924 |
j-invariant |
L |
5.3145669035739 |
L(r)(E,1)/r! |
Ω |
0.86421622478516 |
Real period |
R |
0.38434875665028 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57498p1 |
Quadratic twists by: 37 |