Atkin-Lehner |
2+ 3+ 5- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650p |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
8432415393750000 = 24 · 34 · 58 · 233 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 1 -1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-98825,-11152875] |
[a1,a2,a3,a4,a6] |
Generators |
[-215:570:1] [-190:995:1] |
Generators of the group modulo torsion |
j |
273256821906745/21586983408 |
j-invariant |
L |
7.7856600311859 |
L(r)(E,1)/r! |
Ω |
0.27061523716646 |
Real period |
R |
1.1987591863979 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999928135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127650dk1 |
Quadratic twists by: 5 |