Atkin-Lehner |
2+ 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790f |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11197440 |
Modular degree for the optimal curve |
Δ |
-3.7234960644287E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -3 7 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21094215,38433663925] |
[a1,a2,a3,a4,a6] |
j |
-326784782222946131643/11721923828125000 |
j-invariant |
L |
0.91848846422383 |
L(r)(E,1)/r! |
Ω |
0.11481106502969 |
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 |
83790de2 11970k1 |
Quadratic twists by: -3 -7 |