Atkin-Lehner |
2+ 3- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
114798j |
Isogeny class |
Conductor |
114798 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-35365398916856832 = -1 · 210 · 36 · 197 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 4 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-96395,14639798] |
[a1,a2,a3,a4,a6] |
Generators |
[-312:3946:1] |
Generators of the group modulo torsion |
j |
-2105518942513/751721472 |
j-invariant |
L |
6.9491440257519 |
L(r)(E,1)/r! |
Ω |
0.34559051652556 |
Real period |
R |
1.6756690564565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012652 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6042j1 |
Quadratic twists by: -19 |