Atkin-Lehner |
2+ 3+ 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
30702h |
Isogeny class |
Conductor |
30702 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
355968 |
Modular degree for the optimal curve |
Δ |
2552158396612608 = 218 · 3 · 74 · 17 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-76113,7676565] |
[a1,a2,a3,a4,a6] |
j |
48765103205358877849/2552158396612608 |
j-invariant |
L |
2.7034534638743 |
L(r)(E,1)/r! |
Ω |
0.45057557731322 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92106ce1 |
Quadratic twists by: -3 |