Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
9800z |
Isogeny class |
Conductor |
9800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-6305251093750000 = -1 · 24 · 510 · 79 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 1 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,30625,-3215625] |
[a1,a2,a3,a4,a6] |
Generators |
[329:6517:1] |
Generators of the group modulo torsion |
j |
172800/343 |
j-invariant |
L |
4.1433273069743 |
L(r)(E,1)/r! |
Ω |
0.22094820576581 |
Real period |
R |
2.3440602813527 |
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 |
19600g1 78400r1 88200cc1 9800o1 |
Quadratic twists by: -4 8 -3 5 |