Atkin-Lehner |
3+ 7- 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
33411a |
Isogeny class |
Conductor |
33411 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14208 |
Modular degree for the optimal curve |
Δ |
-159470703 = -1 · 32 · 7 · 372 · 432 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 0 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-529,4502] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-24:1] |
Generators of the group modulo torsion |
j |
-16373519373457/159470703 |
j-invariant |
L |
2.3088616926005 |
L(r)(E,1)/r! |
Ω |
1.8283118206239 |
Real period |
R |
0.63141901358276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100233j1 |
Quadratic twists by: -3 |