Atkin-Lehner |
3+ 7+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
127743c |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
399168 |
Modular degree for the optimal curve |
Δ |
5455467543141 = 32 · 78 · 113 · 79 |
Discriminant |
Eigenvalues |
-2 3+ -1 7+ 11- 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4916,-68902] |
[a1,a2,a3,a4,a6] |
Generators |
[82:269:1] [-422:1613:8] |
Generators of the group modulo torsion |
j |
2279624704/946341 |
j-invariant |
L |
5.3217165476308 |
L(r)(E,1)/r! |
Ω |
0.59146799617629 |
Real period |
R |
0.49985953784594 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127743bj1 |
Quadratic twists by: -7 |