Atkin-Lehner |
3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58275b |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-348489052734375 = -1 · 39 · 510 · 72 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -2 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38855,-3071978] |
[a1,a2,a3,a4,a6] |
j |
-21093208947/1133125 |
j-invariant |
L |
0.67797578894136 |
L(r)(E,1)/r! |
Ω |
0.16949394736471 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58275a1 11655b1 |
Quadratic twists by: -3 5 |