Atkin-Lehner |
2+ 7+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
62608c |
Isogeny class |
Conductor |
62608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-104179712 = -1 · 211 · 7 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ -1 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,112,-224] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-52:1] |
Generators of the group modulo torsion |
j |
75190750/50869 |
j-invariant |
L |
3.6397750134375 |
L(r)(E,1)/r! |
Ω |
1.0698829469294 |
Real period |
R |
0.42525388214856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31304f1 |
Quadratic twists by: -4 |