Atkin-Lehner |
2- 3+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
127308b |
Isogeny class |
Conductor |
127308 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
822528 |
Modular degree for the optimal curve |
Δ |
77519141963379216 = 24 · 316 · 1034 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 -3 2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-109626,-3930831] |
[a1,a2,a3,a4,a6] |
j |
80909496064/43046721 |
j-invariant |
L |
1.6725710916877 |
L(r)(E,1)/r! |
Ω |
0.27876189308061 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127308g1 |
Quadratic twists by: -103 |