Atkin-Lehner |
2- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116032bz |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
381393587008 = 26 · 76 · 373 |
Discriminant |
Eigenvalues |
2- -3 4 7- -3 6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12838,559090] |
[a1,a2,a3,a4,a6] |
j |
31077609984/50653 |
j-invariant |
L |
2.8539866731007 |
L(r)(E,1)/r! |
Ω |
0.95132889386554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116032by1 58016t1 2368p1 |
Quadratic twists by: -4 8 -7 |