Atkin-Lehner |
2+ 3+ 7+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30954a |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5856 |
Modular degree for the optimal curve |
Δ |
278586 = 2 · 33 · 7 · 11 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 11+ 7 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16,-2] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:7:1] |
Generators of the group modulo torsion |
j |
498677257/278586 |
j-invariant |
L |
4.4863369238518 |
L(r)(E,1)/r! |
Ω |
2.6721940085993 |
Real period |
R |
1.6788964084997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92862bp1 |
Quadratic twists by: -3 |