Atkin-Lehner |
2- 7- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
77714o |
Isogeny class |
Conductor |
77714 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1410048 |
Modular degree for the optimal curve |
Δ |
22751028163182592 = 216 · 76 · 13 · 613 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 4 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3008046,-2007285955] |
[a1,a2,a3,a4,a6] |
Generators |
[7065:570355:1] |
Generators of the group modulo torsion |
j |
25585196494633455393/193380548608 |
j-invariant |
L |
8.6922992336799 |
L(r)(E,1)/r! |
Ω |
0.1146380115927 |
Real period |
R |
1.5796642390077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001347 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1586c1 |
Quadratic twists by: -7 |