Atkin-Lehner |
3- 5+ 7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42735i |
Isogeny class |
Conductor |
42735 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1324800 |
Modular degree for the optimal curve |
Δ |
-2.6830647768604E+19 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 11- 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,114274,-248732704] |
[a1,a2,a3,a4,a6] |
Generators |
[1189:-39617:1] |
Generators of the group modulo torsion |
j |
165029734201154195456/26830647768604246875 |
j-invariant |
L |
2.8388669563504 |
L(r)(E,1)/r! |
Ω |
0.099682009788649 |
Real period |
R |
1.4239615364772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999816 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128205bb1 |
Quadratic twists by: -3 |