Atkin-Lehner |
2- 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
90300bp |
Isogeny class |
Conductor |
90300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-75852000000 = -1 · 28 · 32 · 56 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53333,-4758537] |
[a1,a2,a3,a4,a6] |
Generators |
[273:1050:1] |
Generators of the group modulo torsion |
j |
-4194304000000/18963 |
j-invariant |
L |
9.4300717694889 |
L(r)(E,1)/r! |
Ω |
0.15707959006896 |
Real period |
R |
2.5014049047926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000528 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3612a1 |
Quadratic twists by: 5 |