Atkin-Lehner |
2+ 3- 11+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31746r |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2082240 |
Modular degree for the optimal curve |
Δ |
-265795386775776 = -1 · 25 · 36 · 113 · 132 · 373 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 11+ 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28938135,59915119642] |
[a1,a2,a3,a4,a6] |
j |
-2680003156854548666574853993/265795386775776 |
j-invariant |
L |
1.2407689881165 |
L(r)(E,1)/r! |
Ω |
0.31019224702954 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
95238cv1 |
Quadratic twists by: -3 |