Atkin-Lehner |
3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925bh |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
14616000 |
Modular degree for the optimal curve |
Δ |
7.6763572400165E+23 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- -5 -2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-30493950,-49245994125] |
[a1,a2,a3,a4,a6] |
Generators |
[3175434182013877435756044593157650747637203966:8042706558841186333743050502063467991687913543419:494804009529391493493890206081904367919] |
Generators of the group modulo torsion |
j |
28420018162585/6956883693 |
j-invariant |
L |
4.9093103758846 |
L(r)(E,1)/r! |
Ω |
0.065393669902271 |
Real period |
R |
75.073174257101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113925ca1 113925cq1 |
Quadratic twists by: 5 -7 |