Atkin-Lehner |
2+ 3+ 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38280a |
Isogeny class |
Conductor |
38280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2930688 |
Modular degree for the optimal curve |
Δ |
1.331782043097E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ 4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21770251,39064797376] |
[a1,a2,a3,a4,a6] |
Generators |
[4458571:-125021313:2197] |
Generators of the group modulo torsion |
j |
71317162938462199946512384/83236377693561085125 |
j-invariant |
L |
5.5106631636819 |
L(r)(E,1)/r! |
Ω |
0.15196303256248 |
Real period |
R |
9.0657955931098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76560k1 114840bk1 |
Quadratic twists by: -4 -3 |