Atkin-Lehner |
2- 3+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
51792h |
Isogeny class |
Conductor |
51792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3273522654278253312 = 28 · 313 · 132 · 834 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 0 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8532908,-9590628660] |
[a1,a2,a3,a4,a6] |
Generators |
[-484922487917019509478620198498410205950070:-163754617575378991596093705467092954419727:288233436229323427877473748130731533000] |
Generators of the group modulo torsion |
j |
268395349965534837250000/12787197868274427 |
j-invariant |
L |
5.3282122252217 |
L(r)(E,1)/r! |
Ω |
0.088333721194159 |
Real period |
R |
60.319118827636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12948a2 |
Quadratic twists by: -4 |