Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110g |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-339029439840 = -1 · 25 · 39 · 5 · 72 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1432,34336] |
[a1,a2,a3,a4,a6] |
Generators |
[15:121:1] |
Generators of the group modulo torsion |
j |
-6634840273369/6918968160 |
j-invariant |
L |
3.3213799187444 |
L(r)(E,1)/r! |
Ω |
0.87388809517438 |
Real period |
R |
3.8006924880715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57330dq1 95550jt1 19110r1 |
Quadratic twists by: -3 5 -7 |