Atkin-Lehner |
3+ 5- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
74235h |
Isogeny class |
Conductor |
74235 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5450112 |
Modular degree for the optimal curve |
Δ |
-3.3611306280029E+19 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7- 2 -5 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8007890,-8723974582] |
[a1,a2,a3,a4,a6] |
Generators |
[6274:433542:1] |
Generators of the group modulo torsion |
j |
-1158996122146071843794944/685945026123046875 |
j-invariant |
L |
3.1070877838954 |
L(r)(E,1)/r! |
Ω |
0.044871915945711 |
Real period |
R |
2.8851451570395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74235i1 |
Quadratic twists by: -7 |