Atkin-Lehner |
7- 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
46501d |
Isogeny class |
Conductor |
46501 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
395136 |
Modular degree for the optimal curve |
Δ |
-489989138099498947 = -1 · 713 · 13 · 733 |
Discriminant |
Eigenvalues |
1 0 0 7- -3 13- 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-311012,74851335] |
[a1,a2,a3,a4,a6] |
Generators |
[22024:4005861:512] |
Generators of the group modulo torsion |
j |
-28279237523279625/4164838954003 |
j-invariant |
L |
5.8661027508622 |
L(r)(E,1)/r! |
Ω |
0.28480624011508 |
Real period |
R |
5.1492049019571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6643a1 |
Quadratic twists by: -7 |