Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
94864z |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2580480 |
Modular degree for the optimal curve |
Δ |
-2214439434453444352 = -1 · 28 · 79 · 118 |
Discriminant |
Eigenvalues |
2+ -2 4 7- 11- -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-594876,-190758548] |
[a1,a2,a3,a4,a6] |
Generators |
[6959002440310:486889065772472:1386195875] |
Generators of the group modulo torsion |
j |
-1272112/121 |
j-invariant |
L |
6.2752754703945 |
L(r)(E,1)/r! |
Ω |
0.0854911916645 |
Real period |
R |
18.35064920499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47432j1 94864w1 8624d1 |
Quadratic twists by: -4 -7 -11 |