Atkin-Lehner |
2- 3- 5+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830ci |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
11213273180160000 = 214 · 37 · 54 · 193 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-272048,54445331] |
[a1,a2,a3,a4,a6] |
Generators |
[-597:2251:1] [435:-4493:1] |
Generators of the group modulo torsion |
j |
3054437898129579961/15381719040000 |
j-invariant |
L |
15.066757947785 |
L(r)(E,1)/r! |
Ω |
0.40586148978911 |
Real period |
R |
0.44193935736895 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41610v1 |
Quadratic twists by: -3 |