Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850ed |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
304 |
Product of Tamagawa factors cp |
deg |
36771840 |
Modular degree for the optimal curve |
Δ |
-1.0720642860099E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-142304688,821579467281] |
[a1,a2,a3,a4,a6] |
Generators |
[3765:580517:1] |
Generators of the group modulo torsion |
j |
-59465789423385795028207/20003531867239219200 |
j-invariant |
L |
8.6403512974029 |
L(r)(E,1)/r! |
Ω |
0.056135340046239 |
Real period |
R |
2.0252631007402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001532 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bb1 80850gi1 |
Quadratic twists by: 5 -7 |