Atkin-Lehner |
2+ 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650k |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-7275761718750 = -1 · 2 · 36 · 510 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 3 -6 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2800,117750] |
[a1,a2,a3,a4,a6] |
Generators |
[101:1151:1] |
Generators of the group modulo torsion |
j |
248459375/745038 |
j-invariant |
L |
3.4961222144843 |
L(r)(E,1)/r! |
Ω |
0.52446608596379 |
Real period |
R |
3.3330298247589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000372 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650df1 |
Quadratic twists by: 5 |