Atkin-Lehner |
2+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
85918l |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
73728000 |
Modular degree for the optimal curve |
Δ |
7.1486150376056E+27 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 0 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-587216687,3667404841506] |
[a1,a2,a3,a4,a6] |
Generators |
[-22124:2425610:1] |
Generators of the group modulo torsion |
j |
475989388412119272207217/151949860129212465152 |
j-invariant |
L |
2.4401125221479 |
L(r)(E,1)/r! |
Ω |
0.038733808994064 |
Real period |
R |
3.9373104940013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4522f1 |
Quadratic twists by: -19 |