Atkin-Lehner |
2- 3+ 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113850dp |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
9618048000 = 210 · 33 · 53 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-710,5717] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-149:1] |
Generators of the group modulo torsion |
j |
11712548511/2849792 |
j-invariant |
L |
10.376369419539 |
L(r)(E,1)/r! |
Ω |
1.2140364480772 |
Real period |
R |
0.42734999501685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113850s1 113850q1 |
Quadratic twists by: -3 5 |