Atkin-Lehner |
2- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30160z |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
331307600 = 24 · 52 · 134 · 29 |
Discriminant |
Eigenvalues |
2- -2 5- 0 -2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-185,358] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:20:1] |
Generators of the group modulo torsion |
j |
44001181696/20706725 |
j-invariant |
L |
3.4200900403242 |
L(r)(E,1)/r! |
Ω |
1.5288892594893 |
Real period |
R |
2.2369769550652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7540e1 120640ck1 |
Quadratic twists by: -4 8 |