Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10878be |
Isogeny class |
Conductor |
10878 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-6739717791744 = -1 · 213 · 33 · 77 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -4 -2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1861,-120247] |
[a1,a2,a3,a4,a6] |
Generators |
[83:742:1] |
Generators of the group modulo torsion |
j |
6058428767/57286656 |
j-invariant |
L |
6.7822039961351 |
L(r)(E,1)/r! |
Ω |
0.37016903942979 |
Real period |
R |
0.70468886391247 |
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 |
87024dt1 32634y1 1554k1 |
Quadratic twists by: -4 -3 -7 |