Atkin-Lehner |
2+ 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120400a |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-131687500000000 = -1 · 28 · 512 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 3 5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79633,-8693637] |
[a1,a2,a3,a4,a6] |
Generators |
[211336:2753975:512] |
Generators of the group modulo torsion |
j |
-13962024825856/32921875 |
j-invariant |
L |
4.5083631556973 |
L(r)(E,1)/r! |
Ω |
0.14208050231688 |
Real period |
R |
7.932761786404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60200o1 24080e1 |
Quadratic twists by: -4 5 |