Atkin-Lehner |
2+ 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
29070o |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2918142531000000 = 26 · 312 · 56 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47610,-3026700] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:645:1] [-132:1038:1] |
Generators of the group modulo torsion |
j |
16371778463148961/4002939000000 |
j-invariant |
L |
5.3171280535599 |
L(r)(E,1)/r! |
Ω |
0.32896759665851 |
Real period |
R |
2.0203844191528 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690y2 |
Quadratic twists by: -3 |