Atkin-Lehner |
3+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87975i |
Isogeny class |
Conductor |
87975 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
868812233203125 = 39 · 58 · 173 · 23 |
Discriminant |
Eigenvalues |
-2 3+ 5+ -1 -4 -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-33075,-1830094] |
[a1,a2,a3,a4,a6] |
Generators |
[360:5737:1] [-126:580:1] |
Generators of the group modulo torsion |
j |
13011038208/2824975 |
j-invariant |
L |
5.3185798786708 |
L(r)(E,1)/r! |
Ω |
0.3594800692148 |
Real period |
R |
1.2329334165328 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994766 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87975f1 17595b1 |
Quadratic twists by: -3 5 |