Atkin-Lehner |
2- 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
77700g |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-3625171200 = -1 · 28 · 37 · 52 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 -3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28,-2888] |
[a1,a2,a3,a4,a6] |
Generators |
[18:46:1] |
Generators of the group modulo torsion |
j |
-393040/566433 |
j-invariant |
L |
4.5728524745467 |
L(r)(E,1)/r! |
Ω |
0.6340519369671 |
Real period |
R |
2.4040367494537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004271 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77700bd1 |
Quadratic twists by: 5 |