Atkin-Lehner |
2+ 3+ 31- 83- |
Signs for the Atkin-Lehner involutions |
Class |
46314h |
Isogeny class |
Conductor |
46314 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
999936 |
Modular degree for the optimal curve |
Δ |
-3507584720817809664 = -1 · 28 · 33 · 316 · 833 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 -3 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-624513,-210091203] |
[a1,a2,a3,a4,a6] |
Generators |
[5854962:14164339863:1] |
Generators of the group modulo torsion |
j |
-997665119583082889931/129910545215474432 |
j-invariant |
L |
5.2872704227411 |
L(r)(E,1)/r! |
Ω |
0.08430250557977 |
Real period |
R |
7.839729060188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
46314v2 |
Quadratic twists by: -3 |