Atkin-Lehner |
2- 3+ 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32550cc |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
2592000 |
Modular degree for the optimal curve |
Δ |
-3.6874639592978E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1284977,2867845781] |
[a1,a2,a3,a4,a6] |
Generators |
[4635:-331598:1] |
Generators of the group modulo torsion |
j |
1877153297581448934139/29499711674382286848 |
j-invariant |
L |
7.5418928788089 |
L(r)(E,1)/r! |
Ω |
0.10409358225259 |
Real period |
R |
1.2075500902813 |
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 |
97650bz1 32550bh1 |
Quadratic twists by: -3 5 |