Atkin-Lehner |
2+ 3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450c |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
-4507143480000000000 = -1 · 212 · 33 · 510 · 73 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,318633,75024541] |
[a1,a2,a3,a4,a6] |
Generators |
[-25130:222133:125] |
Generators of the group modulo torsion |
j |
13568486147325/17093758976 |
j-invariant |
L |
4.6674331194767 |
L(r)(E,1)/r! |
Ω |
0.16439769736855 |
Real period |
R |
7.0977775133697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72450cn2 72450dd1 |
Quadratic twists by: -3 5 |