Atkin-Lehner |
2- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
81340f |
Isogeny class |
Conductor |
81340 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-3024546560 = -1 · 28 · 5 · 73 · 832 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -1 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-448,-4508] |
[a1,a2,a3,a4,a6] |
Generators |
[28:70:1] [29:83:1] |
Generators of the group modulo torsion |
j |
-113246208/34445 |
j-invariant |
L |
6.4371746184659 |
L(r)(E,1)/r! |
Ω |
0.51088046620502 |
Real period |
R |
1.0500131707345 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000358 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81340m1 |
Quadratic twists by: -7 |