Atkin-Lehner |
3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
7575d |
Isogeny class |
Conductor |
7575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1088 |
Modular degree for the optimal curve |
Δ |
113625 = 32 · 53 · 101 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 -2 -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-93,306] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:17:1] [0:17:1] |
Generators of the group modulo torsion |
j |
712121957/909 |
j-invariant |
L |
3.229024936954 |
L(r)(E,1)/r! |
Ω |
3.3204934025977 |
Real period |
R |
0.97245335118817 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121200dt1 22725m1 7575g1 |
Quadratic twists by: -4 -3 5 |