Atkin-Lehner |
2- 3+ 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
77910bs |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-190066872522240000 = -1 · 212 · 35 · 54 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-169786,-34203961] |
[a1,a2,a3,a4,a6] |
Generators |
[601:8715:1] |
Generators of the group modulo torsion |
j |
-4600883775494161/1615541760000 |
j-invariant |
L |
8.1915796716786 |
L(r)(E,1)/r! |
Ω |
0.11555459575029 |
Real period |
R |
2.9537191258945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130bf1 |
Quadratic twists by: -7 |