Atkin-Lehner |
3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
35301b |
Isogeny class |
Conductor |
35301 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-331277019871581 = -1 · 35 · 7 · 417 |
Discriminant |
Eigenvalues |
-1 3+ -3 7+ 2 -5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11802,1000260] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:900:1] |
Generators of the group modulo torsion |
j |
-38272753/69741 |
j-invariant |
L |
1.5579389755695 |
L(r)(E,1)/r! |
Ω |
0.48353978826641 |
Real period |
R |
1.6109728851427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105903e1 861d1 |
Quadratic twists by: -3 41 |