Atkin-Lehner |
3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475ca |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-12058792716796875 = -1 · 32 · 59 · 79 · 17 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -6 -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-15167133,22730385269] |
[a1,a2,a3,a4,a6] |
Generators |
[-1027:192937:1] [11034:532871:8] |
Generators of the group modulo torsion |
j |
-209906535145406464/6559875 |
j-invariant |
L |
9.827145434369 |
L(r)(E,1)/r! |
Ω |
0.29451739192763 |
Real period |
R |
1.0427170117677 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12495d2 8925a2 |
Quadratic twists by: 5 -7 |