Atkin-Lehner |
2+ 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119646w |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
77552640 |
Modular degree for the optimal curve |
Δ |
2.1624334447575E+27 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 2 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1504145349,22342067617621] |
[a1,a2,a3,a4,a6] |
Generators |
[22867310057:175542480767:1092727] |
Generators of the group modulo torsion |
j |
256080427202032561/1471383926784 |
j-invariant |
L |
7.1674932523331 |
L(r)(E,1)/r! |
Ω |
0.046557959065488 |
Real period |
R |
12.828979541843 |
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 |
39882bl1 119646bd1 |
Quadratic twists by: -3 17 |