Atkin-Lehner |
3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96075be |
Isogeny class |
Conductor |
96075 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
238326046875 = 36 · 56 · 73 · 61 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 5 -4 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6305,192822] |
[a1,a2,a3,a4,a6] |
Generators |
[54:60:1] |
Generators of the group modulo torsion |
j |
2433138625/20923 |
j-invariant |
L |
4.2675101688478 |
L(r)(E,1)/r! |
Ω |
0.99456045644446 |
Real period |
R |
0.7151417378186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10675f1 3843c1 |
Quadratic twists by: -3 5 |