Atkin-Lehner |
2- 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150bp |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-4119705245144531250 = -1 · 2 · 36 · 59 · 134 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-624438,213299781] |
[a1,a2,a3,a4,a6] |
j |
-1723342910011383961/263661135689250 |
j-invariant |
L |
3.8122651598716 |
L(r)(E,1)/r! |
Ω |
0.23826657174991 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14430w1 |
Quadratic twists by: 5 |