Atkin-Lehner |
2+ 5+ 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
102350j |
Isogeny class |
Conductor |
102350 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
27990144 |
Modular degree for the optimal curve |
Δ |
5.9308332019603E+23 |
Discriminant |
Eigenvalues |
2+ -3 5+ -2 0 3 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33221062,-63700676684] |
[a1,a2,a3,a4,a6] |
Generators |
[-29850:743657:8] |
Generators of the group modulo torsion |
j |
162190064296473253916696865/23723332807841238471808 |
j-invariant |
L |
1.4387934314048 |
L(r)(E,1)/r! |
Ω |
0.063499388305973 |
Real period |
R |
1.258799053736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998122186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102350bb1 |
Quadratic twists by: 5 |