Atkin-Lehner |
2- 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150bu |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1492992 |
Modular degree for the optimal curve |
Δ |
12000962025000000 = 26 · 36 · 58 · 13 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 6 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-351963,80050281] |
[a1,a2,a3,a4,a6] |
j |
308599199835781609/768061569600 |
j-invariant |
L |
4.8305093097239 |
L(r)(E,1)/r! |
Ω |
0.40254244199813 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430u1 |
Quadratic twists by: 5 |