Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
117600do |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-8401579200000000 = -1 · 212 · 37 · 58 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16333,-4488037] |
[a1,a2,a3,a4,a6] |
Generators |
[233:2100:1] |
Generators of the group modulo torsion |
j |
-125440/2187 |
j-invariant |
L |
9.8445636608053 |
L(r)(E,1)/r! |
Ω |
0.17783084946901 |
Real period |
R |
0.43935828951817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999717363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600bi1 117600eh1 117600bq1 |
Quadratic twists by: -4 5 -7 |