Atkin-Lehner |
2- 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850cc |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-1.5432417314508E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -1 -4 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-26962688,-53932472719] |
[a1,a2,a3,a4,a6] |
Generators |
[17015:2092367:1] |
Generators of the group modulo torsion |
j |
-138737302436738811629881/98767470812850000 |
j-invariant |
L |
7.1938433199454 |
L(r)(E,1)/r! |
Ω |
0.033125330511577 |
Real period |
R |
2.4678461552634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550bu1 7770k1 |
Quadratic twists by: -3 5 |