Atkin-Lehner |
2+ 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7590f |
Isogeny class |
Conductor |
7590 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-80010136800 = -1 · 25 · 33 · 52 · 115 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11- -7 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9207,336501] |
[a1,a2,a3,a4,a6] |
Generators |
[77:264:1] |
Generators of the group modulo torsion |
j |
-86328032428786681/80010136800 |
j-invariant |
L |
2.9854714854481 |
L(r)(E,1)/r! |
Ω |
1.0775338505328 |
Real period |
R |
0.27706521553562 |
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 |
60720cv1 22770bl1 37950dd1 83490bt1 |
Quadratic twists by: -4 -3 5 -11 |