Atkin-Lehner |
2+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
117208j |
Isogeny class |
Conductor |
117208 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
3916800 |
Modular degree for the optimal curve |
Δ |
952415632287112448 = 28 · 77 · 135 · 233 |
Discriminant |
Eigenvalues |
2+ -2 0 7- -1 13- 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15536593,23565980787] |
[a1,a2,a3,a4,a6] |
Generators |
[2291:-1274:1] [-1349:205114:1] |
Generators of the group modulo torsion |
j |
13770918300093568000/31622653517 |
j-invariant |
L |
8.9171235795482 |
L(r)(E,1)/r! |
Ω |
0.24074547999103 |
Real period |
R |
0.15433179296826 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16744b1 |
Quadratic twists by: -7 |