Atkin-Lehner |
3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96075f |
Isogeny class |
Conductor |
96075 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
804350408203125 = 39 · 59 · 73 · 61 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 1 -7 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-236925,44366906] |
[a1,a2,a3,a4,a6] |
Generators |
[-561:850:1] [265:-438:1] |
Generators of the group modulo torsion |
j |
4782390792192/2615375 |
j-invariant |
L |
5.9025689653882 |
L(r)(E,1)/r! |
Ω |
0.49659851506774 |
Real period |
R |
0.49524991735068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000572 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96075e1 19215d1 |
Quadratic twists by: -3 5 |