Atkin-Lehner |
2+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
126400h |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
339302416384000000 = 238 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 -2 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-672033,210411937] |
[a1,a2,a3,a4,a6] |
Generators |
[7321:622592:1] |
Generators of the group modulo torsion |
j |
8194759433281/82837504 |
j-invariant |
L |
4.0951241069266 |
L(r)(E,1)/r! |
Ω |
0.30523142736669 |
Real period |
R |
3.3541142168964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999577619 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126400by1 3950a1 5056b1 |
Quadratic twists by: -4 8 5 |