Atkin-Lehner |
3- 5- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
102225p |
Isogeny class |
Conductor |
102225 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
275040 |
Modular degree for the optimal curve |
Δ |
-388135546875 = -1 · 36 · 58 · 29 · 47 |
Discriminant |
Eigenvalues |
-2 3- 5- 3 5 -2 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10708,423994] |
[a1,a2,a3,a4,a6] |
Generators |
[83:337:1] |
Generators of the group modulo torsion |
j |
-347639664640/993627 |
j-invariant |
L |
5.4010327212876 |
L(r)(E,1)/r! |
Ω |
0.95349544660131 |
Real period |
R |
0.31469198253927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032385 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102225c1 |
Quadratic twists by: 5 |