Atkin-Lehner |
3+ 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18525h |
Isogeny class |
Conductor |
18525 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2195200 |
Modular degree for the optimal curve |
Δ |
-2.3554895893489E+22 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 1 5 13- -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2536742,7217661168] |
[a1,a2,a3,a4,a6] |
j |
115540013304585949184/1507513337183302371 |
j-invariant |
L |
0.71036080300364 |
L(r)(E,1)/r! |
Ω |
0.088795100375455 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55575s1 741d1 |
Quadratic twists by: -3 5 |