Atkin-Lehner |
2+ 3- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370by |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
-8702759769637500000 = -1 · 25 · 35 · 58 · 79 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 0 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1428278,672039848] |
[a1,a2,a3,a4,a6] |
Generators |
[1824:63400:1] |
Generators of the group modulo torsion |
j |
-2738881705631423689/73972237500000 |
j-invariant |
L |
7.3614810510032 |
L(r)(E,1)/r! |
Ω |
0.23127525118238 |
Real period |
R |
0.19893722534182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999583379 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910b1 |
Quadratic twists by: -7 |