Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114800bv |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
7077888 |
Modular degree for the optimal curve |
Δ |
771777440000000000 = 214 · 510 · 76 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -6 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40203408,-98129976812] |
[a1,a2,a3,a4,a6] |
Generators |
[7588:183750:1] |
Generators of the group modulo torsion |
j |
112287744132511049929/12059022500 |
j-invariant |
L |
4.0599521920202 |
L(r)(E,1)/r! |
Ω |
0.059956164051718 |
Real period |
R |
2.8214725983668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14350l1 22960i1 |
Quadratic twists by: -4 5 |