Atkin-Lehner |
2+ 5- 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
17510h |
Isogeny class |
Conductor |
17510 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-29767000 = -1 · 23 · 53 · 172 · 103 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 3 1 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,77,6] |
[a1,a2,a3,a4,a6] |
Generators |
[10:37:1] |
Generators of the group modulo torsion |
j |
51437343959/29767000 |
j-invariant |
L |
2.0737681070386 |
L(r)(E,1)/r! |
Ω |
1.249728712084 |
Real period |
R |
0.2765624367095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87550l1 |
Quadratic twists by: 5 |