Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
77616ba |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
-7577914566651061248 = -1 · 210 · 39 · 710 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- -6 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,453789,-60807726] |
[a1,a2,a3,a4,a6] |
Generators |
[267:8910:1] |
Generators of the group modulo torsion |
j |
1815156/1331 |
j-invariant |
L |
4.3362373374634 |
L(r)(E,1)/r! |
Ω |
0.13158998288765 |
Real period |
R |
2.7460533353641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38808i1 77616m1 77616d1 |
Quadratic twists by: -4 -3 -7 |