Atkin-Lehner |
2- 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7378r |
Isogeny class |
Conductor |
7378 |
Conductor |
∏ cp |
184 |
Product of Tamagawa factors cp |
deg |
247296 |
Modular degree for the optimal curve |
Δ |
-3.0891245375297E+19 |
Discriminant |
Eigenvalues |
2- -2 2 7- -2 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2787057,-1810968215] |
[a1,a2,a3,a4,a6] |
Generators |
[2954:123963:1] |
Generators of the group modulo torsion |
j |
-2394204674724255511761553/30891245375296897024 |
j-invariant |
L |
5.0386012371326 |
L(r)(E,1)/r! |
Ω |
0.058378051978812 |
Real period |
R |
1.876301208931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59024m1 66402m1 51646bj1 125426p1 |
Quadratic twists by: -4 -3 -7 17 |