Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350p |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-13881640808000000 = -1 · 29 · 56 · 79 · 43 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -1 -2 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-52700,-7358000] |
[a1,a2,a3,a4,a6] |
Generators |
[19865:2789805:1] |
Generators of the group modulo torsion |
j |
-25672375/22016 |
j-invariant |
L |
3.2698205769512 |
L(r)(E,1)/r! |
Ω |
0.15206580777517 |
Real period |
R |
5.3756669751518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4214d1 105350l1 |
Quadratic twists by: 5 -7 |