Atkin-Lehner |
2+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127600h |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-1976268800 = -1 · 211 · 52 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 11- 3 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88,2192] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-44:1] [56:412:1] |
Generators of the group modulo torsion |
j |
-1488770/38599 |
j-invariant |
L |
9.6485439154963 |
L(r)(E,1)/r! |
Ω |
1.2353790027815 |
Real period |
R |
0.65084911134153 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63800a1 127600r1 |
Quadratic twists by: -4 5 |