Atkin-Lehner |
3- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
35301j |
Isogeny class |
Conductor |
35301 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
275520 |
Modular degree for the optimal curve |
Δ |
57515416425358563 = 3 · 74 · 418 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ 3 -1 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-265633,51394286] |
[a1,a2,a3,a4,a6] |
Generators |
[835:19879:1] |
Generators of the group modulo torsion |
j |
259596625/7203 |
j-invariant |
L |
4.7220344283593 |
L(r)(E,1)/r! |
Ω |
0.3510659201886 |
Real period |
R |
6.7252817160707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105903g1 35301d1 |
Quadratic twists by: -3 41 |