Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
7350x |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-1102500000 = -1 · 25 · 32 · 57 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 7 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-901,10448] |
[a1,a2,a3,a4,a6] |
Generators |
[22:26:1] |
Generators of the group modulo torsion |
j |
-105484561/1440 |
j-invariant |
L |
3.8275801732671 |
L(r)(E,1)/r! |
Ω |
1.5538776374191 |
Real period |
R |
0.30790553267314 |
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 |
58800fl1 22050ea1 1470j1 7350a1 |
Quadratic twists by: -4 -3 5 -7 |