Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9240g |
Isogeny class |
Conductor |
9240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
7.7390110317008E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6773095,-5300327060] |
[a1,a2,a3,a4,a6] |
Generators |
[-158082444:4199830129:140608] |
Generators of the group modulo torsion |
j |
2147658844706816042407936/483688189481299210485 |
j-invariant |
L |
3.9895161411147 |
L(r)(E,1)/r! |
Ω |
0.095093564541299 |
Real period |
R |
13.984529028011 |
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 |
18480bd1 73920cb1 27720bb1 46200cy1 |
Quadratic twists by: -4 8 -3 5 |