Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
69825br |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-806290877109375 = -1 · 35 · 57 · 76 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -6 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,23249,69773] |
[a1,a2,a3,a4,a6] |
Generators |
[97:1751:1] |
Generators of the group modulo torsion |
j |
756058031/438615 |
j-invariant |
L |
7.3546768733569 |
L(r)(E,1)/r! |
Ω |
0.30221514168459 |
Real period |
R |
2.4335898033444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001574 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13965l1 1425c1 |
Quadratic twists by: 5 -7 |