Atkin-Lehner |
3+ 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
78351g |
Isogeny class |
Conductor |
78351 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
624000 |
Modular degree for the optimal curve |
Δ |
-117661675188189951 = -1 · 313 · 72 · 13 · 415 |
Discriminant |
Eigenvalues |
-1 3+ 1 7- 0 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,120770,3427514] |
[a1,a2,a3,a4,a6] |
j |
3975617615541371471/2401258677309999 |
j-invariant |
L |
1.0186326531577 |
L(r)(E,1)/r! |
Ω |
0.20372653001302 |
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 |
78351j1 |
Quadratic twists by: -7 |