Atkin-Lehner |
3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103635f |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
102287745 = 33 · 5 · 73 · 472 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 2 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4839,-128360] |
[a1,a2,a3,a4,a6] |
Generators |
[11636:136961:64] |
Generators of the group modulo torsion |
j |
1353266019981/11045 |
j-invariant |
L |
7.6150663154706 |
L(r)(E,1)/r! |
Ω |
0.57240926541041 |
Real period |
R |
6.6517671537669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103635d1 103635c1 |
Quadratic twists by: -3 -7 |