Atkin-Lehner |
3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
18513j |
Isogeny class |
Conductor |
18513 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1725532578580210587 = 316 · 119 · 17 |
Discriminant |
Eigenvalues |
-1 3- 0 -2 11+ 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1146740,-468125116] |
[a1,a2,a3,a4,a6] |
Generators |
[-71395:101304:125] |
Generators of the group modulo torsion |
j |
97018944875/1003833 |
j-invariant |
L |
2.7004615551275 |
L(r)(E,1)/r! |
Ω |
0.14598382547914 |
Real period |
R |
9.2491806755451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6171b2 18513h2 |
Quadratic twists by: -3 -11 |