Atkin-Lehner |
3+ 7- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
78351f |
Isogeny class |
Conductor |
78351 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
-3.3544536982441E+19 |
Discriminant |
Eigenvalues |
2 3+ -3 7- -2 13+ -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1547632,792229395] |
[a1,a2,a3,a4,a6] |
Generators |
[2042:162725:8] |
Generators of the group modulo torsion |
j |
-3484487055342702592/285123859807059 |
j-invariant |
L |
6.2616486695527 |
L(r)(E,1)/r! |
Ω |
0.20303455694882 |
Real period |
R |
0.96375968676484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11193h1 |
Quadratic twists by: -7 |