Atkin-Lehner |
2- 5- 31+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
114700r |
Isogeny class |
Conductor |
114700 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-7168750000 = -1 · 24 · 58 · 31 · 37 |
Discriminant |
Eigenvalues |
2- -2 5- 0 -6 5 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-333,4588] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:75:1] [-13:83:1] |
Generators of the group modulo torsion |
j |
-655360/1147 |
j-invariant |
L |
8.0043435995364 |
L(r)(E,1)/r! |
Ω |
1.1849896181579 |
Real period |
R |
0.75053105734853 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114700c1 |
Quadratic twists by: 5 |