Atkin-Lehner |
3+ 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
65415f |
Isogeny class |
Conductor |
65415 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
498960 |
Modular degree for the optimal curve |
Δ |
-75156341162109375 = -1 · 3 · 511 · 78 · 89 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ 0 3 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-138107,-23811024] |
[a1,a2,a3,a4,a6] |
Generators |
[1372:48014:1] |
Generators of the group modulo torsion |
j |
-50534896431481/13037109375 |
j-invariant |
L |
6.3714728517421 |
L(r)(E,1)/r! |
Ω |
0.12217456168477 |
Real period |
R |
4.740960775533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65415n1 |
Quadratic twists by: -7 |