Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475y |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8437778439797109375 = 33 · 57 · 712 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-733188,196820406] |
[a1,a2,a3,a4,a6] |
Generators |
[-435:21042:1] |
Generators of the group modulo torsion |
j |
23711636464489/4590075735 |
j-invariant |
L |
1.8313232986984 |
L(r)(E,1)/r! |
Ω |
0.22063135595921 |
Real period |
R |
2.0750940975001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12495o2 8925z2 |
Quadratic twists by: 5 -7 |