Atkin-Lehner |
2- 3+ 7+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30954o |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
711993285577728 = 210 · 36 · 76 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-363787,84292409] |
[a1,a2,a3,a4,a6] |
Generators |
[259:2614:1] |
Generators of the group modulo torsion |
j |
5324334265287056304433/711993285577728 |
j-invariant |
L |
8.0284933066758 |
L(r)(E,1)/r! |
Ω |
0.48968923013647 |
Real period |
R |
0.81975391866779 |
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 |
92862o2 |
Quadratic twists by: -3 |