Atkin-Lehner |
2+ 3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450a |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24772608 |
Modular degree for the optimal curve |
Δ |
9.8672382943691E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-123165042,-219939523884] |
[a1,a2,a3,a4,a6] |
Generators |
[6653673777:2399440105674:50653] |
Generators of the group modulo torsion |
j |
489781415227546051766883/233890092903563264000 |
j-invariant |
L |
5.3650683552413 |
L(r)(E,1)/r! |
Ω |
0.047507835621416 |
Real period |
R |
14.116272306991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450cm1 14490bi1 |
Quadratic twists by: -3 5 |