Atkin-Lehner |
2+ 3+ 5+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
41610a |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
36378400 |
Modular degree for the optimal curve |
Δ |
6.2454377747081E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -2 -7 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1752624188,-28239251504208] |
[a1,a2,a3,a4,a6] |
Generators |
[-14653225824727910187338424145328037081:-23309856881557985321717560665068704329:606044718249088901811625532493251] |
Generators of the group modulo torsion |
j |
595374343762591440668147884200649/62454377747081334248100000 |
j-invariant |
L |
1.373953907759 |
L(r)(E,1)/r! |
Ω |
0.02333351077753 |
Real period |
R |
58.883291111171 |
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 |
124830cm1 |
Quadratic twists by: -3 |