Atkin-Lehner |
5- 7+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70525u |
Isogeny class |
Conductor |
70525 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
8697600 |
Modular degree for the optimal curve |
Δ |
-4.0899814280983E+20 |
Discriminant |
Eigenvalues |
2 -3 5- 7+ -2 13- 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4148875,3395113281] |
[a1,a2,a3,a4,a6] |
Generators |
[11250:147871:8] |
Generators of the group modulo torsion |
j |
-4043753966983237632/209407049118631 |
j-invariant |
L |
7.2888538301182 |
L(r)(E,1)/r! |
Ω |
0.16627079666079 |
Real period |
R |
1.0959311524395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973362 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70525x1 |
Quadratic twists by: 5 |