Atkin-Lehner |
2+ 3+ 7- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
119574c |
Isogeny class |
Conductor |
119574 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
423936 |
Modular degree for the optimal curve |
Δ |
575975522304 = 216 · 33 · 73 · 13 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -6 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20088,-1090240] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:52:1] [281:3783:1] |
Generators of the group modulo torsion |
j |
33203373293349531/21332426752 |
j-invariant |
L |
7.1884949636226 |
L(r)(E,1)/r! |
Ω |
0.40103392667083 |
Real period |
R |
5.9749682714386 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119574v1 |
Quadratic twists by: -3 |