Atkin-Lehner |
2- 3+ 5- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120450bt |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
371712 |
Modular degree for the optimal curve |
Δ |
-22162491648000 = -1 · 211 · 34 · 53 · 114 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11- -4 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6683,306281] |
[a1,a2,a3,a4,a6] |
Generators |
[99:-842:1] [-55:742:1] |
Generators of the group modulo torsion |
j |
-264077952477893/177299933184 |
j-invariant |
L |
13.546038384924 |
L(r)(E,1)/r! |
Ω |
0.62594890049755 |
Real period |
R |
0.1229591219661 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999982132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450bh1 |
Quadratic twists by: 5 |