Atkin-Lehner |
2- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520cp |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-73199137177600 = -1 · 214 · 52 · 78 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 -6 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9000,250900] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:400:1] [23:686:1] |
Generators of the group modulo torsion |
j |
167284151/151900 |
j-invariant |
L |
8.6840357625328 |
L(r)(E,1)/r! |
Ω |
0.4009698209721 |
Real period |
R |
2.7071974319661 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000006311 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15190q1 17360y1 |
Quadratic twists by: -4 -7 |