Atkin-Lehner |
3+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
35175o |
Isogeny class |
Conductor |
35175 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-101549807296875 = -1 · 32 · 56 · 74 · 673 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -2 -4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-98658,11970218] |
[a1,a2,a3,a4,a6] |
Generators |
[717:17587:1] |
Generators of the group modulo torsion |
j |
-6796808121217024/6499187667 |
j-invariant |
L |
2.5285768343133 |
L(r)(E,1)/r! |
Ω |
0.59423171232749 |
Real period |
R |
0.088650071942235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105525bh1 1407b1 |
Quadratic twists by: -3 5 |