Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57498q |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
459648 |
Modular degree for the optimal curve |
Δ |
-2906624214058194 = -1 · 2 · 37 · 7 · 377 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -6 -4 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,23929,2169579] |
[a1,a2,a3,a4,a6] |
Generators |
[-346:8387:8] |
Generators of the group modulo torsion |
j |
590589719/1132866 |
j-invariant |
L |
9.3858220613261 |
L(r)(E,1)/r! |
Ω |
0.31139116633388 |
Real period |
R |
2.1529700710794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1554b1 |
Quadratic twists by: 37 |