Atkin-Lehner |
3- 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77469x |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4746240 |
Modular degree for the optimal curve |
Δ |
2309892940593 = 32 · 73 · 176 · 31 |
Discriminant |
Eigenvalues |
1 3- 2 7- -4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-109121920,438739875473] |
[a1,a2,a3,a4,a6] |
j |
418953268285959090408977071/6734381751 |
j-invariant |
L |
1.7248818646608 |
L(r)(E,1)/r! |
Ω |
0.28748031182312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77469d1 |
Quadratic twists by: -7 |