Atkin-Lehner |
7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
40733f |
Isogeny class |
Conductor |
40733 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73920 |
Modular degree for the optimal curve |
Δ |
-6143933501167 = -1 · 73 · 112 · 236 |
Discriminant |
Eigenvalues |
1 2 2 7- 11+ 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1841,-114552] |
[a1,a2,a3,a4,a6] |
Generators |
[33822:2182671:8] |
Generators of the group modulo torsion |
j |
4657463/41503 |
j-invariant |
L |
11.902486659722 |
L(r)(E,1)/r! |
Ω |
0.37359518552372 |
Real period |
R |
5.3098858162179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77c1 |
Quadratic twists by: -23 |