Atkin-Lehner |
2- 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
118188d |
Isogeny class |
Conductor |
118188 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4672857536122358016 = -1 · 28 · 39 · 712 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,321489,-76773690] |
[a1,a2,a3,a4,a6] |
Generators |
[220022177173226:-6971112889323535:313600414184] |
Generators of the group modulo torsion |
j |
6198727824/7882483 |
j-invariant |
L |
6.4333788599611 |
L(r)(E,1)/r! |
Ω |
0.13058448120372 |
Real period |
R |
24.63301469564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999548197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118188b2 16884b2 |
Quadratic twists by: -3 -7 |