Atkin-Lehner |
2- 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640bw |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
1457280 |
Modular degree for the optimal curve |
Δ |
6382310156250000 = 24 · 3 · 511 · 7 · 733 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 -2 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-310850,-66493125] |
[a1,a2,a3,a4,a6] |
j |
207614528641966118656/398894384765625 |
j-invariant |
L |
2.2243577888417 |
L(r)(E,1)/r! |
Ω |
0.20221429168111 |
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 |
30660t1 |
Quadratic twists by: -4 |