Atkin-Lehner |
2+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
31262f |
Isogeny class |
Conductor |
31262 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
802816 |
Modular degree for the optimal curve |
Δ |
-67279641017171968 = -1 · 214 · 79 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 11- -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4668452,3882094626] |
[a1,a2,a3,a4,a6] |
Generators |
[1217:1247:1] |
Generators of the group modulo torsion |
j |
-278843106103519231/1667252224 |
j-invariant |
L |
1.6491319175249 |
L(r)(E,1)/r! |
Ω |
0.30952186778114 |
Real period |
R |
1.3319995202174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31262d1 |
Quadratic twists by: -7 |