Atkin-Lehner |
2+ 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
55104m |
Isogeny class |
Conductor |
55104 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-25481302769664 = -1 · 226 · 33 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 2 5 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2721,-248031] |
[a1,a2,a3,a4,a6] |
j |
-8502154921/97203456 |
j-invariant |
L |
1.7125213817984 |
L(r)(E,1)/r! |
Ω |
0.28542023024141 |
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 |
55104cu1 1722f1 |
Quadratic twists by: -4 8 |