Atkin-Lehner |
2+ 3- 7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30954i |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-109888320503808 = -1 · 216 · 32 · 73 · 112 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2064,503230] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:705:1] |
Generators of the group modulo torsion |
j |
973094966282375/109888320503808 |
j-invariant |
L |
4.8546094365354 |
L(r)(E,1)/r! |
Ω |
0.45575508517467 |
Real period |
R |
0.88764952830509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92862bx1 |
Quadratic twists by: -3 |