Atkin-Lehner |
2+ 3+ 5- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130d |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
298020096 |
Modular degree for the optimal curve |
Δ |
-6.8991702143555E+28 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -5 -1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44753392419,3644105995622933] |
[a1,a2,a3,a4,a6] |
j |
-503628506506169693949995638037667/3505141601562500000000000 |
j-invariant |
L |
1.3653174569587 |
L(r)(E,1)/r! |
Ω |
0.031029932707127 |
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 |
122130bi1 |
Quadratic twists by: -3 |