Atkin-Lehner |
2- 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
61320t |
Isogeny class |
Conductor |
61320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
1738351395033523200 = 210 · 318 · 52 · 74 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1408120,640476700] |
[a1,a2,a3,a4,a6] |
j |
301538704608331031524/1697608784212425 |
j-invariant |
L |
2.1329465535757 |
L(r)(E,1)/r! |
Ω |
0.26661831975628 |
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 |
122640s1 |
Quadratic twists by: -4 |