Atkin-Lehner |
2+ 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
98208c |
Isogeny class |
Conductor |
98208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
17554287168 = 26 · 33 · 11 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1005,10476] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:124:1] [72:558:1] |
Generators of the group modulo torsion |
j |
64964808000/10158731 |
j-invariant |
L |
10.867312902982 |
L(r)(E,1)/r! |
Ω |
1.1773431544918 |
Real period |
R |
2.3075924935649 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000332 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98208p1 98208r1 |
Quadratic twists by: -4 -3 |