Atkin-Lehner |
3+ 5- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10695b |
Isogeny class |
Conductor |
10695 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
8288625 = 3 · 53 · 23 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 -4 -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-190,-1078] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:6:1] [16:9:1] |
Generators of the group modulo torsion |
j |
758800078561/8288625 |
j-invariant |
L |
3.3730373892085 |
L(r)(E,1)/r! |
Ω |
1.2867254042828 |
Real period |
R |
1.7476079863826 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32085b1 53475k1 |
Quadratic twists by: -3 5 |