Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408dr |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
5692240640406528 = 210 · 314 · 133 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69997,6111203] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:3159:1] |
Generators of the group modulo torsion |
j |
37039766561277952/5558828750397 |
j-invariant |
L |
8.4175771000838 |
L(r)(E,1)/r! |
Ω |
0.40956680445024 |
Real period |
R |
0.48934264253995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408u1 14352c1 |
Quadratic twists by: -4 8 |