Atkin-Lehner |
2- 3+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678v |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-64242001152 = -1 · 28 · 33 · 76 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -3 -5 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3023,-64361] |
[a1,a2,a3,a4,a6] |
j |
-961504803/20224 |
j-invariant |
L |
5.1445843848998 |
L(r)(E,1)/r! |
Ω |
0.32153652378028 |
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 |
69678e1 1422e1 |
Quadratic twists by: -3 -7 |