Atkin-Lehner |
3+ 5+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
104025b |
Isogeny class |
Conductor |
104025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-88868232421875 = -1 · 38 · 510 · 19 · 73 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 -2 -2 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-35208,2594693] |
[a1,a2,a3,a4,a6] |
Generators |
[-265236:3606893:1728] |
Generators of the group modulo torsion |
j |
-494265241600/9100107 |
j-invariant |
L |
12.849794316053 |
L(r)(E,1)/r! |
Ω |
0.6048543853374 |
Real period |
R |
10.622221329555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007503 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104025r1 |
Quadratic twists by: 5 |