Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25410y |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
2021374149767280000 = 27 · 318 · 54 · 72 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4661759,3873124946] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:63808:1] |
Generators of the group modulo torsion |
j |
8417729709220226489459/1518688316880000 |
j-invariant |
L |
4.6699510312128 |
L(r)(E,1)/r! |
Ω |
0.25392111481742 |
Real period |
R |
0.51087071696029 |
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 |
76230et2 127050ev2 25410ch2 |
Quadratic twists by: -3 5 -11 |