Atkin-Lehner |
2- 5- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
127100b |
Isogeny class |
Conductor |
127100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
50482531250000 = 24 · 59 · 312 · 412 |
Discriminant |
Eigenvalues |
2- 2 5- 4 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71333,-7301338] |
[a1,a2,a3,a4,a6] |
Generators |
[40746:1555642:27] |
Generators of the group modulo torsion |
j |
1284550688768/1615441 |
j-invariant |
L |
13.842017716717 |
L(r)(E,1)/r! |
Ω |
0.29215224037964 |
Real period |
R |
7.8965779976138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976191 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127100c1 |
Quadratic twists by: 5 |