Atkin-Lehner |
2+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
2870b |
Isogeny class |
Conductor |
2870 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-40360810 = -1 · 2 · 5 · 74 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -4 -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11,306] |
[a1,a2,a3,a4,a6] |
Generators |
[0:17:1] [4:18:1] |
Generators of the group modulo torsion |
j |
167284151/40360810 |
j-invariant |
L |
2.2150473655218 |
L(r)(E,1)/r! |
Ω |
1.5787613705696 |
Real period |
R |
1.4030286063569 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22960m2 91840q2 25830be2 14350u2 |
Quadratic twists by: -4 8 -3 5 |