Atkin-Lehner |
2+ 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730u |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
3761694720 |
Modular degree for the optimal curve |
Δ |
-1.702078263648E+38 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 3 6 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,973535810068,507252601076855376] |
[a1,a2,a3,a4,a6] |
j |
2528699048143416805789803166012817/4217908608883434375000000000000 |
j-invariant |
L |
2.1286337313598 |
L(r)(E,1)/r! |
Ω |
0.0039129299188631 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86730bd1 |
Quadratic twists by: -7 |