Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30096m |
Isogeny class |
Conductor |
30096 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-6812139312 = -1 · 24 · 33 · 112 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11+ 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-240,-4221] |
[a1,a2,a3,a4,a6] |
Generators |
[325:5852:1] |
Generators of the group modulo torsion |
j |
-3538944000/15768841 |
j-invariant |
L |
5.3092253635569 |
L(r)(E,1)/r! |
Ω |
0.55060361224348 |
Real period |
R |
2.4106386361706 |
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 |
7524c1 120384cf1 30096q1 |
Quadratic twists by: -4 8 -3 |