Atkin-Lehner |
2- 5+ 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
114700j |
Isogeny class |
Conductor |
114700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-245350468750000 = -1 · 24 · 510 · 31 · 373 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -6 1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-780833,-265314838] |
[a1,a2,a3,a4,a6] |
Generators |
[456457328085587974099682:19684603599686135938185564:202107296522913699527] |
Generators of the group modulo torsion |
j |
-336960287948800/1570243 |
j-invariant |
L |
9.4185897303533 |
L(r)(E,1)/r! |
Ω |
0.080302645206232 |
Real period |
R |
39.096220330662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114700u2 |
Quadratic twists by: 5 |