Atkin-Lehner |
2+ 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
34840a |
Isogeny class |
Conductor |
34840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9472 |
Modular degree for the optimal curve |
Δ |
-153086960 = -1 · 24 · 5 · 134 · 67 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 -2 13+ 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,64,541] |
[a1,a2,a3,a4,a6] |
Generators |
[30:169:1] |
Generators of the group modulo torsion |
j |
1783774976/9567935 |
j-invariant |
L |
3.5553243315965 |
L(r)(E,1)/r! |
Ω |
1.3163152484012 |
Real period |
R |
0.67524180395133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69680a1 |
Quadratic twists by: -4 |