Atkin-Lehner |
2+ 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450bu |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
126983868480000000 = 212 · 37 · 57 · 73 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12762792,17552759616] |
[a1,a2,a3,a4,a6] |
Generators |
[54768:45416:27] [-816:166008:1] |
Generators of the group modulo torsion |
j |
20184279492242626489/11148103680 |
j-invariant |
L |
7.9140889681663 |
L(r)(E,1)/r! |
Ω |
0.2709925338003 |
Real period |
R |
1.2168368714068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150ck1 14490bu1 |
Quadratic twists by: -3 5 |