Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810dr |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
3360 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
1129478061962880000 = 210 · 37 · 54 · 76 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-471540,113619600] |
[a1,a2,a3,a4,a6] |
Generators |
[240:3660:1] |
Generators of the group modulo torsion |
j |
1690513270434786979/164670952320000 |
j-invariant |
L |
13.198275901945 |
L(r)(E,1)/r! |
Ω |
0.26724318435785 |
Real period |
R |
0.058793765882387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75810ba1 |
Quadratic twists by: -19 |