Atkin-Lehner |
3+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
75615d |
Isogeny class |
Conductor |
75615 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-33151712977335195 = -1 · 36 · 5 · 717 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 2 1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-127705,-19586199] |
[a1,a2,a3,a4,a6] |
Generators |
[1480999:31084123:2197] |
Generators of the group modulo torsion |
j |
-1798045696/258795 |
j-invariant |
L |
5.1451119183754 |
L(r)(E,1)/r! |
Ω |
0.12527607926549 |
Real period |
R |
10.267546583978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990459 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1065c1 |
Quadratic twists by: -71 |