Atkin-Lehner |
3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
108225o |
Isogeny class |
Conductor |
108225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
394240 |
Modular degree for the optimal curve |
Δ |
-970569037546875 = -1 · 317 · 56 · 13 · 37 |
Discriminant |
Eigenvalues |
0 3- 5+ 4 3 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,24450,285156] |
[a1,a2,a3,a4,a6] |
Generators |
[25700:553693:64] |
Generators of the group modulo torsion |
j |
141909917696/85207707 |
j-invariant |
L |
7.5947433712176 |
L(r)(E,1)/r! |
Ω |
0.30326500174644 |
Real period |
R |
6.2608142339105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36075o1 4329c1 |
Quadratic twists by: -3 5 |