Atkin-Lehner |
5- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
34075h |
Isogeny class |
Conductor |
34075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
4940875 = 53 · 292 · 47 |
Discriminant |
Eigenvalues |
1 1 5- 1 -5 5 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-261,1593] |
[a1,a2,a3,a4,a6] |
Generators |
[3:27:1] |
Generators of the group modulo torsion |
j |
15643757501/39527 |
j-invariant |
L |
7.203268051727 |
L(r)(E,1)/r! |
Ω |
2.4376270602181 |
Real period |
R |
0.7387582138059 |
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 |
34075f1 |
Quadratic twists by: 5 |