Atkin-Lehner |
2- 3+ 7+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18354r |
Isogeny class |
Conductor |
18354 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-1.2052410992616E+21 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 2 -1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4787404,4362093389] |
[a1,a2,a3,a4,a6] |
Generators |
[1777:37453:1] |
Generators of the group modulo torsion |
j |
-12134557746711197359563457/1205241099261594693984 |
j-invariant |
L |
7.8554566967566 |
L(r)(E,1)/r! |
Ω |
0.15000972365261 |
Real period |
R |
5.2366316699229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55062p1 128478ck1 |
Quadratic twists by: -3 -7 |