Atkin-Lehner |
3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
35301k |
Isogeny class |
Conductor |
35301 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
162624 |
Modular degree for the optimal curve |
Δ |
1201880776364667 = 311 · 74 · 414 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -5 -1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-47103,-3567690] |
[a1,a2,a3,a4,a6] |
Generators |
[-1218:2877:8] [-147:504:1] |
Generators of the group modulo torsion |
j |
4090106028625/425329947 |
j-invariant |
L |
6.7649578201714 |
L(r)(E,1)/r! |
Ω |
0.32624623012624 |
Real period |
R |
0.15708895834906 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105903l1 35301a1 |
Quadratic twists by: -3 41 |