Atkin-Lehner |
2+ 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38280h |
Isogeny class |
Conductor |
38280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
297146369298834000 = 24 · 33 · 53 · 11 · 298 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-248135,39776100] |
[a1,a2,a3,a4,a6] |
Generators |
[2140:96460:1] |
Generators of the group modulo torsion |
j |
105601371860192106496/18571648081177125 |
j-invariant |
L |
5.833798862029 |
L(r)(E,1)/r! |
Ω |
0.29276823153714 |
Real period |
R |
6.6421128087092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76560n1 114840t1 |
Quadratic twists by: -4 -3 |