Atkin-Lehner |
3+ 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
104181f |
Isogeny class |
Conductor |
104181 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-9043586830509 = -1 · 3 · 73 · 118 · 41 |
Discriminant |
Eigenvalues |
-1 3+ 3 7+ 11- -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4656,79278] |
[a1,a2,a3,a4,a6] |
Generators |
[18:402:1] |
Generators of the group modulo torsion |
j |
6300872423/5104869 |
j-invariant |
L |
4.2069663930089 |
L(r)(E,1)/r! |
Ω |
0.47158086619807 |
Real period |
R |
4.4604930558816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9471b1 |
Quadratic twists by: -11 |