Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296w |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8294400 |
Modular degree for the optimal curve |
Δ |
175231798229838672 = 24 · 36 · 75 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 0 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38423155,-91659389954] |
[a1,a2,a3,a4,a6] |
Generators |
[131972938:20993060298:4913] |
Generators of the group modulo torsion |
j |
8334147900493981696/232793757 |
j-invariant |
L |
4.1400788414855 |
L(r)(E,1)/r! |
Ω |
0.06063889780174 |
Real period |
R |
13.654861778955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004664 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60648q1 6384o1 |
Quadratic twists by: -4 -19 |