Atkin-Lehner |
2+ 3- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48450u |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
3573504 |
Modular degree for the optimal curve |
Δ |
-9.3809896776873E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -1 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15350601,-23614859252] |
[a1,a2,a3,a4,a6] |
Generators |
[5627:258306:1] |
Generators of the group modulo torsion |
j |
-640058699069610373814425/15009583484299640832 |
j-invariant |
L |
4.8134951630842 |
L(r)(E,1)/r! |
Ω |
0.038083427616203 |
Real period |
R |
0.87773217475219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48450bc1 |
Quadratic twists by: 5 |