Atkin-Lehner |
3+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
94461b |
Isogeny class |
Conductor |
94461 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
842688 |
Modular degree for the optimal curve |
Δ |
-4775168351667033 = -1 · 37 · 23 · 377 |
Discriminant |
Eigenvalues |
-1 3+ -4 1 0 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-237550,44588516] |
[a1,a2,a3,a4,a6] |
Generators |
[348:1879:1] |
Generators of the group modulo torsion |
j |
-577801395289/1861137 |
j-invariant |
L |
1.6235433683959 |
L(r)(E,1)/r! |
Ω |
0.43523670900198 |
Real period |
R |
0.93256343420631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2553a1 |
Quadratic twists by: 37 |