Atkin-Lehner |
5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4025d |
Isogeny class |
Conductor |
4025 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-14175546875 = -1 · 57 · 73 · 232 |
Discriminant |
Eigenvalues |
-2 -3 5+ 7- -1 -7 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-325,6156] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:11:1] [20:-88:1] |
Generators of the group modulo torsion |
j |
-242970624/907235 |
j-invariant |
L |
1.7000900122303 |
L(r)(E,1)/r! |
Ω |
1.0944558414978 |
Real period |
R |
0.064723565042243 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999828 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64400bm1 36225by1 805d1 28175h1 |
Quadratic twists by: -4 -3 5 -7 |