Atkin-Lehner |
2- 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122740r |
Isogeny class |
Conductor |
122740 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
849600 |
Modular degree for the optimal curve |
Δ |
-19477598326000 = -1 · 24 · 53 · 175 · 193 |
Discriminant |
Eigenvalues |
2- -2 5- -5 -4 -7 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45530,3730225] |
[a1,a2,a3,a4,a6] |
Generators |
[25:1615:1] [120:-95:1] |
Generators of the group modulo torsion |
j |
-95114212420864/177482125 |
j-invariant |
L |
6.248268392548 |
L(r)(E,1)/r! |
Ω |
0.68618774141756 |
Real period |
R |
0.10117523259955 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122740q1 |
Quadratic twists by: -19 |