Atkin-Lehner |
2+ 3- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850w |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
92928 |
Modular degree for the optimal curve |
Δ |
-9902517300 = -1 · 22 · 311 · 52 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-546,6808] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-93:1] |
Generators of the group modulo torsion |
j |
-718154235265/396100692 |
j-invariant |
L |
6.7280151474089 |
L(r)(E,1)/r! |
Ω |
1.1981862525973 |
Real period |
R |
0.25523483486474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83850cd1 |
Quadratic twists by: 5 |