Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925cc |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
16020703125 = 33 · 58 · 72 · 31 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 1 -2 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9508,353644] |
[a1,a2,a3,a4,a6] |
Generators |
[53:37:1] |
Generators of the group modulo torsion |
j |
124171177984/20925 |
j-invariant |
L |
4.5046215665067 |
L(r)(E,1)/r! |
Ω |
1.2000906025991 |
Real period |
R |
0.62559464403872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000103058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22785h1 113925h1 |
Quadratic twists by: 5 -7 |