Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488dn |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
-5.3045401966557E+19 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11+ -7 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3379497,-2417922081] |
[a1,a2,a3,a4,a6] |
Generators |
[2130:7203:1] |
Generators of the group modulo torsion |
j |
-35431687725461248/440311012911 |
j-invariant |
L |
5.4361095695085 |
L(r)(E,1)/r! |
Ω |
0.055633352278477 |
Real period |
R |
2.7142539071115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999874103 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488gt1 6468j1 14784q1 |
Quadratic twists by: -4 8 -7 |