Atkin-Lehner |
3+ 7- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
101283i |
Isogeny class |
Conductor |
101283 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
942080 |
Modular degree for the optimal curve |
Δ |
-331842415635844659 = -1 · 34 · 73 · 134 · 535 |
Discriminant |
Eigenvalues |
0 3+ -1 7- 3 13- -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-32741,27820148] |
[a1,a2,a3,a4,a6] |
Generators |
[-2182:32379:8] [-16:5323:1] |
Generators of the group modulo torsion |
j |
-11316670630985728/967470599521413 |
j-invariant |
L |
7.6658841122074 |
L(r)(E,1)/r! |
Ω |
0.25064490333679 |
Real period |
R |
0.38230799874749 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001216 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101283r1 |
Quadratic twists by: -7 |