Atkin-Lehner |
2+ 3- 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910k |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
9505926720 = 26 · 37 · 5 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-540,1296] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:84:1] [-90:657:8] |
Generators of the group modulo torsion |
j |
23912763841/13039680 |
j-invariant |
L |
6.7010782270013 |
L(r)(E,1)/r! |
Ω |
1.1274686493652 |
Real period |
R |
1.4858679730765 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970u1 |
Quadratic twists by: -3 |