Atkin-Lehner |
3+ 5+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
118575f |
Isogeny class |
Conductor |
118575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
267264 |
Modular degree for the optimal curve |
Δ |
-1111640625 = -1 · 33 · 57 · 17 · 31 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 5 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52917,-4672134] |
[a1,a2,a3,a4,a6] |
Generators |
[336882:10064634:343] |
Generators of the group modulo torsion |
j |
-38844557925363/2635 |
j-invariant |
L |
11.016422737149 |
L(r)(E,1)/r! |
Ω |
0.15738754778712 |
Real period |
R |
8.7494396160804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999742734 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118575c1 23715d1 |
Quadratic twists by: -3 5 |