Atkin-Lehner |
2+ 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390g |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
-1.1619894173661E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -1 -4 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-52846868,147937858272] |
[a1,a2,a3,a4,a6] |
Generators |
[551720:3018312:125] |
Generators of the group modulo torsion |
j |
-138737302436738811629881/98767470812850000 |
j-invariant |
L |
2.744213066984 |
L(r)(E,1)/r! |
Ω |
0.12614859021447 |
Real period |
R |
2.7192268481038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000332 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7770k1 |
Quadratic twists by: -7 |