Atkin-Lehner |
3- 7- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77469y |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
28141698332361033 = 34 · 79 · 172 · 313 |
Discriminant |
Eigenvalues |
1 3- 2 7- 6 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17241460,-27556990051] |
[a1,a2,a3,a4,a6] |
j |
14046348280347718399/697377519 |
j-invariant |
L |
4.7417212954193 |
L(r)(E,1)/r! |
Ω |
0.074089395141001 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77469e1 |
Quadratic twists by: -7 |