Atkin-Lehner |
3+ 5+ 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
70725b |
Isogeny class |
Conductor |
70725 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
29675520 |
Modular degree for the optimal curve |
Δ |
-9.979290299768E+26 |
Discriminant |
Eigenvalues |
0 3+ 5+ -4 3 0 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-36212033,-1522175747782] |
[a1,a2,a3,a4,a6] |
j |
-336095285477602461220864/63867457918515141796875 |
j-invariant |
L |
0.61637276731382 |
L(r)(E,1)/r! |
Ω |
0.02201331179647 |
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 |
14145e1 |
Quadratic twists by: 5 |