Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4680u |
Isogeny class |
Conductor |
4680 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-61374513332171520 = -1 · 28 · 317 · 5 · 135 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 5 13- -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,87468,-6552236] |
[a1,a2,a3,a4,a6] |
Generators |
[1460:56862:1] |
Generators of the group modulo torsion |
j |
396555344454656/328867205355 |
j-invariant |
L |
4.0385611983582 |
L(r)(E,1)/r! |
Ω |
0.19384874043401 |
Real period |
R |
0.52083923647328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9360u1 37440bf1 1560d1 23400h1 |
Quadratic twists by: -4 8 -3 5 |