Atkin-Lehner |
2+ 3+ 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
36498k |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
72893137477721946 = 2 · 3 · 72 · 1112 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-160779,-21209205] |
[a1,a2,a3,a4,a6] |
Generators |
[455:75:1] |
Generators of the group modulo torsion |
j |
459637974502115750713/72893137477721946 |
j-invariant |
L |
3.6496486741774 |
L(r)(E,1)/r! |
Ω |
0.24097153879256 |
Real period |
R |
2.5242598444505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109494bm3 |
Quadratic twists by: -3 |