Atkin-Lehner |
2+ 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35150f |
Isogeny class |
Conductor |
35150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3981312 |
Modular degree for the optimal curve |
Δ |
-1.606858787375E+21 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 0 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-117392750,489519512500] |
[a1,a2,a3,a4,a6] |
j |
-11450580940464042778633441/102838962392000000 |
j-invariant |
L |
1.6230145235467 |
L(r)(E,1)/r! |
Ω |
0.13525121029505 |
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 |
7030j1 |
Quadratic twists by: 5 |