Atkin-Lehner |
3+ 5- 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
101175f |
Isogeny class |
Conductor |
101175 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3529440 |
Modular degree for the optimal curve |
Δ |
2.2109708966909E+20 |
Discriminant |
Eigenvalues |
1 3+ 5- 1 6 3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1914450,725639625] |
[a1,a2,a3,a4,a6] |
Generators |
[-3796839920:49016422685:2571353] |
Generators of the group modulo torsion |
j |
1986534522657564745/566008549552863 |
j-invariant |
L |
7.621703054022 |
L(r)(E,1)/r! |
Ω |
0.16481139292168 |
Real period |
R |
15.415000380958 |
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 |
101175i1 |
Quadratic twists by: 5 |