Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120bg |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
4800541416929280 = 211 · 37 · 5 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43923,1200562] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:2178:1] |
Generators of the group modulo torsion |
j |
29282/15 |
j-invariant |
L |
3.3270706722162 |
L(r)(E,1)/r! |
Ω |
0.38221855377947 |
Real period |
R |
0.36269287096154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43560o1 29040bn1 87120bd1 |
Quadratic twists by: -4 -3 -11 |