Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59976ba |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-1259753570838956592 = -1 · 24 · 39 · 712 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23814,54019413] |
[a1,a2,a3,a4,a6] |
Generators |
[4326:284445:1] |
Generators of the group modulo torsion |
j |
-40310784/34000561 |
j-invariant |
L |
7.8952253182575 |
L(r)(E,1)/r! |
Ω |
0.22006252523928 |
Real period |
R |
4.4846489137141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119952g1 59976f1 8568h1 |
Quadratic twists by: -4 -3 -7 |