Atkin-Lehner |
2+ 3- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
119658bq |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-310890150648 = -1 · 23 · 311 · 72 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 3 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1528,13934] |
[a1,a2,a3,a4,a6] |
Generators |
[48:421:1] [12:178:1] |
Generators of the group modulo torsion |
j |
8059464802487/6344696952 |
j-invariant |
L |
9.7498761237857 |
L(r)(E,1)/r! |
Ω |
0.6224042125513 |
Real period |
R |
0.71203918334664 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005151 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119658c1 |
Quadratic twists by: -7 |