Atkin-Lehner |
2- 3- 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
113544g |
Isogeny class |
Conductor |
113544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2119040 |
Modular degree for the optimal curve |
Δ |
-1061512588265131008 = -1 · 210 · 36 · 192 · 835 |
Discriminant |
Eigenvalues |
2- 3- -4 -3 3 -4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,237213,21902670] |
[a1,a2,a3,a4,a6] |
Generators |
[163:8056:1] |
Generators of the group modulo torsion |
j |
1977478112299644/1421993672123 |
j-invariant |
L |
2.7509651745539 |
L(r)(E,1)/r! |
Ω |
0.17558783252374 |
Real period |
R |
3.916793611089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999898574 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12616c1 |
Quadratic twists by: -3 |