Atkin-Lehner |
2+ 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123370c |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
63466623578251400 = 23 · 52 · 138 · 733 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2805072144,-57182869102474] |
[a1,a2,a3,a4,a6] |
Generators |
[-11835634187651127668281235794424481020290511456090832168:5918006833148944753546089565060782313636618967525781491:387060571856156271795051384913186768324539259048263] |
Generators of the group modulo torsion |
j |
505703202925929435408795841/13148774600 |
j-invariant |
L |
3.3574114016164 |
L(r)(E,1)/r! |
Ω |
0.020745005095766 |
Real period |
R |
80.920958710724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9490m4 |
Quadratic twists by: 13 |