Atkin-Lehner |
2+ 3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450r |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
-250595899470000 = -1 · 24 · 33 · 54 · 79 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 3 -4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13917,993141] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:1191:1] |
Generators of the group modulo torsion |
j |
-17665842966075/14850127376 |
j-invariant |
L |
5.1302239312709 |
L(r)(E,1)/r! |
Ω |
0.50758238740383 |
Real period |
R |
0.84226456952262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980186 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
72450dd2 72450cn1 |
Quadratic twists by: -3 5 |