Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350v |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-1348480000000 = -1 · 213 · 57 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 2 1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14901,-703552] |
[a1,a2,a3,a4,a6] |
Generators |
[401024:3386027:2197] |
Generators of the group modulo torsion |
j |
-477872405521/1761280 |
j-invariant |
L |
3.9116780779719 |
L(r)(E,1)/r! |
Ω |
0.21600976282849 |
Real period |
R |
9.0544011664335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999512776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21070p1 105350b1 |
Quadratic twists by: 5 -7 |