Atkin-Lehner |
2+ 5- 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
112850h |
Isogeny class |
Conductor |
112850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-8816406250 = -1 · 2 · 59 · 37 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -2 -2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,424,3048] |
[a1,a2,a3,a4,a6] |
Generators |
[2:61:1] |
Generators of the group modulo torsion |
j |
4330747/4514 |
j-invariant |
L |
1.4459983852598 |
L(r)(E,1)/r! |
Ω |
0.86133064252003 |
Real period |
R |
0.83939797933252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998860496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112850q1 |
Quadratic twists by: 5 |