Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10878bb |
Isogeny class |
Conductor |
10878 |
Conductor |
∏ cp |
58 |
Product of Tamagawa factors cp |
deg |
146160 |
Modular degree for the optimal curve |
Δ |
-78762262935896064 = -1 · 229 · 37 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 1 0 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-278986,58186967] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:9531:1] |
Generators of the group modulo torsion |
j |
-49008900562345883761/1607393121140736 |
j-invariant |
L |
5.6196917775499 |
L(r)(E,1)/r! |
Ω |
0.34149722286026 |
Real period |
R |
0.28372481841122 |
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 |
87024dm1 32634t1 10878bl1 |
Quadratic twists by: -4 -3 -7 |