Atkin-Lehner |
13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
58357c |
Isogeny class |
Conductor |
58357 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1005312 |
Modular degree for the optimal curve |
Δ |
-173099984159630203 = -1 · 134 · 677 |
Discriminant |
Eigenvalues |
-2 -2 -2 -2 0 13- -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-190034,-37711632] |
[a1,a2,a3,a4,a6] |
Generators |
[1027:-29179:1] |
Generators of the group modulo torsion |
j |
-8390176768/1913587 |
j-invariant |
L |
0.93288593377262 |
L(r)(E,1)/r! |
Ω |
0.11296079356157 |
Real period |
R |
1.0323116369657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
871a1 |
Quadratic twists by: -67 |