Atkin-Lehner |
2+ 3+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
51282d |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-19739057184 = -1 · 25 · 39 · 7 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11+ -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,660,-1936] |
[a1,a2,a3,a4,a6] |
Generators |
[55:418:1] |
Generators of the group modulo torsion |
j |
1613964717/1002848 |
j-invariant |
L |
3.9139863933324 |
L(r)(E,1)/r! |
Ω |
0.70249533923517 |
Real period |
R |
1.3928869612111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51282ba1 |
Quadratic twists by: -3 |