Atkin-Lehner |
3+ 5- 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
28635c |
Isogeny class |
Conductor |
28635 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
625632 |
Modular degree for the optimal curve |
Δ |
-3090236599824435 = -1 · 37 · 5 · 237 · 83 |
Discriminant |
Eigenvalues |
1 3+ 5- 1 -4 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8362892,9305084079] |
[a1,a2,a3,a4,a6] |
j |
-64683462268022635220197321/3090236599824435 |
j-invariant |
L |
1.3431349909857 |
L(r)(E,1)/r! |
Ω |
0.33578374774639 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85905d1 |
Quadratic twists by: -3 |