Atkin-Lehner |
2+ 3+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
70224a |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
-79500309504 = -1 · 210 · 3 · 73 · 11 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 11+ -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11264,464112] |
[a1,a2,a3,a4,a6] |
Generators |
[54:102:1] |
Generators of the group modulo torsion |
j |
-154361942913028/77637021 |
j-invariant |
L |
5.9164763047273 |
L(r)(E,1)/r! |
Ω |
1.0696513944493 |
Real period |
R |
2.7656095880258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35112ba1 |
Quadratic twists by: -4 |