Atkin-Lehner |
2- 3- 5+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
63270y |
Isogeny class |
Conductor |
63270 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-34226444295000 = -1 · 23 · 36 · 54 · 193 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -4 1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7177,-158169] |
[a1,a2,a3,a4,a6] |
j |
56089523591639/46949855000 |
j-invariant |
L |
4.3388309018145 |
L(r)(E,1)/r! |
Ω |
0.36156924247936 |
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 |
7030c1 |
Quadratic twists by: -3 |