Atkin-Lehner |
2- 3+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71994x |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
1345571315712 = 213 · 34 · 134 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 -2 13+ -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5158,129059] |
[a1,a2,a3,a4,a6] |
Generators |
[161:1791:1] [-59:511:1] |
Generators of the group modulo torsion |
j |
531373116625/47112192 |
j-invariant |
L |
12.076195365177 |
L(r)(E,1)/r! |
Ω |
0.83501165017342 |
Real period |
R |
0.18541420047345 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999584 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71994j1 |
Quadratic twists by: 13 |