Atkin-Lehner |
2+ 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390h |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
97902000000000 = 210 · 33 · 59 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 3 -5 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-108098,-13716492] |
[a1,a2,a3,a4,a6] |
Generators |
[-24220:16414:125] |
Generators of the group modulo torsion |
j |
2850932179613533561/1998000000000 |
j-invariant |
L |
2.9898033947289 |
L(r)(E,1)/r! |
Ω |
0.26330729212577 |
Real period |
R |
5.6774033309766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54390w1 |
Quadratic twists by: -7 |