Atkin-Lehner |
5- 37+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
61975f |
Isogeny class |
Conductor |
61975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33216 |
Modular degree for the optimal curve |
Δ |
-57326875 = -1 · 54 · 372 · 67 |
Discriminant |
Eigenvalues |
-2 -2 5- -4 0 6 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,92,-106] |
[a1,a2,a3,a4,a6] |
Generators |
[2:9:1] [4:18:1] |
Generators of the group modulo torsion |
j |
136294400/91723 |
j-invariant |
L |
3.3736472088531 |
L(r)(E,1)/r! |
Ω |
1.1254426698408 |
Real period |
R |
1.4988090016827 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61975e1 |
Quadratic twists by: 5 |