Atkin-Lehner |
2+ 3- 13- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
30498l |
Isogeny class |
Conductor |
30498 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-3004198642772028 = -1 · 22 · 34 · 136 · 174 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 0 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,26838,-2020184] |
[a1,a2,a3,a4,a6] |
Generators |
[403:-8821:1] |
Generators of the group modulo torsion |
j |
2137949385257845223/3004198642772028 |
j-invariant |
L |
3.7508112754476 |
L(r)(E,1)/r! |
Ω |
0.2394324396479 |
Real period |
R |
0.32636305125043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91494y1 |
Quadratic twists by: -3 |