Atkin-Lehner |
2- 5+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040bd |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-28838656000000 = -1 · 214 · 56 · 72 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3277,-248078] |
[a1,a2,a3,a4,a6] |
Generators |
[57:352:1] |
Generators of the group modulo torsion |
j |
950152003191/7040687500 |
j-invariant |
L |
4.6112588587292 |
L(r)(E,1)/r! |
Ω |
0.33003396066534 |
Real period |
R |
1.7465092329726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999626065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14630e2 |
Quadratic twists by: -4 |