Atkin-Lehner |
5- 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
56525v |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
-30912109375 = -1 · 59 · 72 · 17 · 19 |
Discriminant |
Eigenvalues |
1 2 5- 7+ 2 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,550,-6625] |
[a1,a2,a3,a4,a6] |
Generators |
[1675834398:35504870977:3581577] |
Generators of the group modulo torsion |
j |
9393931/15827 |
j-invariant |
L |
10.019485167311 |
L(r)(E,1)/r! |
Ω |
0.61711745883951 |
Real period |
R |
16.235945076062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56525bd1 |
Quadratic twists by: 5 |