Atkin-Lehner |
2- 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
42550z |
Isogeny class |
Conductor |
42550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
7344 |
Modular degree for the optimal curve |
Δ |
-1063750 = -1 · 2 · 54 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 2 5- 2 -4 3 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-38,-119] |
[a1,a2,a3,a4,a6] |
Generators |
[980:3093:64] |
Generators of the group modulo torsion |
j |
-9725425/1702 |
j-invariant |
L |
13.324052597698 |
L(r)(E,1)/r! |
Ω |
0.95222297463601 |
Real period |
R |
4.6641920896677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42550c1 |
Quadratic twists by: 5 |