Atkin-Lehner |
2+ 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
122976g |
Isogeny class |
Conductor |
122976 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-2313916416 = -1 · 212 · 33 · 73 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -6 -4 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-684,7264] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:28:1] [26:84:1] |
Generators of the group modulo torsion |
j |
-320013504/20923 |
j-invariant |
L |
9.1675091622528 |
L(r)(E,1)/r! |
Ω |
1.4331239356638 |
Real period |
R |
0.26653629802773 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122976r1 122976v1 |
Quadratic twists by: -4 -3 |