Atkin-Lehner |
2+ 3+ 5+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
103230c |
Isogeny class |
Conductor |
103230 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10281600 |
Modular degree for the optimal curve |
Δ |
-3.2880602741023E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 5 2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17000025,-26988641875] |
[a1,a2,a3,a4,a6] |
j |
-27604578116307991508163/16705076838400000 |
j-invariant |
L |
1.784360989 |
L(r)(E,1)/r! |
Ω |
0.037174180632928 |
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 |
103230r1 |
Quadratic twists by: -3 |