Atkin-Lehner |
3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
11655o |
Isogeny class |
Conductor |
11655 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-4857162975 = -1 · 37 · 52 · 74 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,373,-1974] |
[a1,a2,a3,a4,a6] |
Generators |
[14:69:1] |
Generators of the group modulo torsion |
j |
7892485271/6662775 |
j-invariant |
L |
3.3572286738931 |
L(r)(E,1)/r! |
Ω |
0.75594347856898 |
Real period |
R |
2.2205553517364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3885c1 58275c1 81585t1 |
Quadratic twists by: -3 5 -7 |