Atkin-Lehner |
2+ 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450j |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
214272 |
Modular degree for the optimal curve |
Δ |
-670552570800 = -1 · 24 · 39 · 52 · 7 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -5 0 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49047,-4168819] |
[a1,a2,a3,a4,a6] |
Generators |
[538:10909:1] |
Generators of the group modulo torsion |
j |
-26517631877595/1362704 |
j-invariant |
L |
3.9831135959971 |
L(r)(E,1)/r! |
Ω |
0.16040381484519 |
Real period |
R |
2.0693157041723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72450cs1 72450cw1 |
Quadratic twists by: -3 5 |