Atkin-Lehner |
7- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
85547i |
Isogeny class |
Conductor |
85547 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
51982243001381 = 74 · 118 · 101 |
Discriminant |
Eigenvalues |
-2 -2 -1 7- 11- 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3485566,2503552112] |
[a1,a2,a3,a4,a6] |
Generators |
[1085:423:1] [238:41079:1] |
Generators of the group modulo torsion |
j |
2643550782660849664/29342621 |
j-invariant |
L |
3.9738158160174 |
L(r)(E,1)/r! |
Ω |
0.44357501913158 |
Real period |
R |
1.1198263103794 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990252 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7777c1 |
Quadratic twists by: -11 |