Atkin-Lehner |
2+ 3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450l |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-4286685375000000 = -1 · 26 · 33 · 59 · 74 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4242,3152916] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:1734:1] [-498:14499:8] |
Generators of the group modulo torsion |
j |
-160103007/81288256 |
j-invariant |
L |
7.7020692794443 |
L(r)(E,1)/r! |
Ω |
0.35445951981814 |
Real period |
R |
2.7161314793225 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450cy1 72450dc1 |
Quadratic twists by: -3 5 |