Atkin-Lehner |
2+ 3+ 37+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
129648a |
Isogeny class |
Conductor |
129648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
74602570752 = 210 · 36 · 372 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 2 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2688,-51120] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1406:1] |
Generators of the group modulo torsion |
j |
2098326698500/72854073 |
j-invariant |
L |
6.904099997318 |
L(r)(E,1)/r! |
Ω |
0.66443739594361 |
Real period |
R |
2.5977240559938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999954722 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64824e1 |
Quadratic twists by: -4 |