Atkin-Lehner |
3+ 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
104181l |
Isogeny class |
Conductor |
104181 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
7567082858181 = 3 · 7 · 118 · 412 |
Discriminant |
Eigenvalues |
-2 3+ -1 7- 11- -2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12866,550208] |
[a1,a2,a3,a4,a6] |
Generators |
[46:231:1] [202:-2481:1] |
Generators of the group modulo torsion |
j |
1098870784/35301 |
j-invariant |
L |
4.7594132189508 |
L(r)(E,1)/r! |
Ω |
0.73782353141926 |
Real period |
R |
1.0751019757174 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104181a1 |
Quadratic twists by: -11 |