Atkin-Lehner |
2- 3+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
77910ca |
Isogeny class |
Conductor |
77910 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-46746000 = -1 · 24 · 32 · 53 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50,335] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-17:1] |
Generators of the group modulo torsion |
j |
-282475249/954000 |
j-invariant |
L |
8.8914111452181 |
L(r)(E,1)/r! |
Ω |
1.7670294963941 |
Real period |
R |
0.20966003402097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001459 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77910cc1 |
Quadratic twists by: -7 |