Atkin-Lehner |
3+ 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
109725d |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
617203125 = 33 · 56 · 7 · 11 · 19 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ 11+ 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-28908,1901468] |
[a1,a2,a3,a4,a6] |
Generators |
[98:8:1] |
Generators of the group modulo torsion |
j |
170990840664064/39501 |
j-invariant |
L |
2.6134662838076 |
L(r)(E,1)/r! |
Ω |
1.2929830892757 |
Real period |
R |
2.0212687186466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044828 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4389g1 |
Quadratic twists by: 5 |