Atkin-Lehner |
2- 3+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
91980b |
Isogeny class |
Conductor |
91980 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
653184 |
Modular degree for the optimal curve |
Δ |
4638595472033040 = 24 · 39 · 5 · 79 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -1 -4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-152253,-22630347] |
[a1,a2,a3,a4,a6] |
Generators |
[-243:135:1] |
Generators of the group modulo torsion |
j |
1239395780406528/14729066555 |
j-invariant |
L |
4.3118229642692 |
L(r)(E,1)/r! |
Ω |
0.24186337979246 |
Real period |
R |
2.9712524500241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91980g1 |
Quadratic twists by: -3 |