Atkin-Lehner |
2+ 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
98880q |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-40501248000 = -1 · 220 · 3 · 53 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 -4 0 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-9663] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-320:1] |
Generators of the group modulo torsion |
j |
-117649/154500 |
j-invariant |
L |
4.0317195225024 |
L(r)(E,1)/r! |
Ω |
0.51830033632761 |
Real period |
R |
0.64822768395594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98880ca1 3090l1 |
Quadratic twists by: -4 8 |