Atkin-Lehner |
3+ 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
107085f |
Isogeny class |
Conductor |
107085 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-260847963316875 = -1 · 3 · 54 · 119 · 59 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 4 11- 3 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-24966,1713986] |
[a1,a2,a3,a4,a6] |
Generators |
[59:-666:1] |
Generators of the group modulo torsion |
j |
-971475595264/147241875 |
j-invariant |
L |
2.900427968661 |
L(r)(E,1)/r! |
Ω |
0.5333872746538 |
Real period |
R |
0.67971905222353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000090659 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9735b1 |
Quadratic twists by: -11 |