Atkin-Lehner |
3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
58275f |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
-573752376421875 = -1 · 310 · 56 · 75 · 37 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 1 5 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1950,-1151969] |
[a1,a2,a3,a4,a6] |
Generators |
[284410:4733239:1000] |
Generators of the group modulo torsion |
j |
71991296/50370579 |
j-invariant |
L |
4.5295685728355 |
L(r)(E,1)/r! |
Ω |
0.24150482698142 |
Real period |
R |
9.3778013246768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19425a1 2331e1 |
Quadratic twists by: -3 5 |