Atkin-Lehner |
5- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56525x |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
3678541015625 = 59 · 73 · 172 · 19 |
Discriminant |
Eigenvalues |
-1 0 5- 7- -4 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17680,-895678] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:46:1] |
Generators of the group modulo torsion |
j |
312908547069/1883413 |
j-invariant |
L |
3.1236635283222 |
L(r)(E,1)/r! |
Ω |
0.41417926407489 |
Real period |
R |
2.5139384473717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000436 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56525w1 |
Quadratic twists by: 5 |