Atkin-Lehner |
2+ 3+ 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118482i |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
269641602895392 = 25 · 32 · 78 · 132 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12719837,17455754205] |
[a1,a2,a3,a4,a6] |
Generators |
[55749:-40786:27] [4318:827215:8] |
Generators of the group modulo torsion |
j |
1934550911262812818249/2291915808 |
j-invariant |
L |
5.8671197307177 |
L(r)(E,1)/r! |
Ω |
0.34940062830526 |
Real period |
R |
2.098994414217 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999891334 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926t2 |
Quadratic twists by: -7 |