Atkin-Lehner |
2+ 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
42600m |
Isogeny class |
Conductor |
42600 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
543577331250000 = 24 · 35 · 58 · 713 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -3 -6 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31583,1835838] |
[a1,a2,a3,a4,a6] |
Generators |
[58:-450:1] [49:639:1] |
Generators of the group modulo torsion |
j |
557464975360/86972373 |
j-invariant |
L |
9.9170085106413 |
L(r)(E,1)/r! |
Ω |
0.49739424950478 |
Real period |
R |
0.22153248366119 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85200o1 127800bq1 42600s1 |
Quadratic twists by: -4 -3 5 |