Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520j |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-4574946073600 = -1 · 210 · 52 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 0 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4067,-143374] |
[a1,a2,a3,a4,a6] |
Generators |
[91:490:1] |
Generators of the group modulo torsion |
j |
-61752996/37975 |
j-invariant |
L |
5.2026677327971 |
L(r)(E,1)/r! |
Ω |
0.29078381083755 |
Real period |
R |
2.2364844373793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999849251 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60760v1 17360c1 |
Quadratic twists by: -4 -7 |