Atkin-Lehner |
5- 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
20615f |
Isogeny class |
Conductor |
20615 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
79130945495 = 5 · 74 · 193 · 312 |
Discriminant |
Eigenvalues |
-1 2 5- 7+ -2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-182875,-30177110] |
[a1,a2,a3,a4,a6] |
Generators |
[917122947660:69346985862187:157464000] |
Generators of the group modulo torsion |
j |
676373958111878334001/79130945495 |
j-invariant |
L |
4.4669471090669 |
L(r)(E,1)/r! |
Ω |
0.23086652211715 |
Real period |
R |
19.348613510971 |
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 |
103075i2 |
Quadratic twists by: 5 |