Atkin-Lehner |
2+ 7- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95312b |
Isogeny class |
Conductor |
95312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
349440 |
Modular degree for the optimal curve |
Δ |
-3654385532963312 = -1 · 24 · 72 · 237 · 372 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 4 -1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43328,4543231] |
[a1,a2,a3,a4,a6] |
j |
-562237334463136000/228399095810207 |
j-invariant |
L |
1.6633584932953 |
L(r)(E,1)/r! |
Ω |
0.41583966697778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47656c1 |
Quadratic twists by: -4 |