Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
35490bw |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-21378670735968000 = -1 · 28 · 32 · 53 · 7 · 139 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4897,-7033102] |
[a1,a2,a3,a4,a6] |
Generators |
[7293:97420:27] |
Generators of the group modulo torsion |
j |
1225043/2016000 |
j-invariant |
L |
6.1309335673723 |
L(r)(E,1)/r! |
Ω |
0.1778512323612 |
Real period |
R |
5.7453763331435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470fa1 35490da1 |
Quadratic twists by: -3 13 |