Atkin-Lehner |
2- 3- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
58032bf |
Isogeny class |
Conductor |
58032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-757938195136512 = -1 · 217 · 315 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 1 0 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-884235,320039354] |
[a1,a2,a3,a4,a6] |
j |
-25605858405543625/253831968 |
j-invariant |
L |
1.8266241947121 |
L(r)(E,1)/r! |
Ω |
0.45665604866077 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7254o1 19344m1 |
Quadratic twists by: -4 -3 |