Atkin-Lehner |
3+ 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59241l |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
38830875993 = 32 · 77 · 132 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- -2 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37388,2766980] |
[a1,a2,a3,a4,a6] |
Generators |
[108:4:1] |
Generators of the group modulo torsion |
j |
49128431640625/330057 |
j-invariant |
L |
2.6051656700788 |
L(r)(E,1)/r! |
Ω |
1.0283008827727 |
Real period |
R |
1.266733168134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8463k1 |
Quadratic twists by: -7 |