Atkin-Lehner |
2- 3+ 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350bv |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
525690000000000 = 210 · 34 · 510 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20713,307031] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:912:1] |
Generators of the group modulo torsion |
j |
62897590993609/33644160000 |
j-invariant |
L |
8.3999249512178 |
L(r)(E,1)/r! |
Ω |
0.45583419674024 |
Real period |
R |
0.92137941817899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470n1 |
Quadratic twists by: 5 |