Atkin-Lehner |
2+ 3+ 7- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
29526g |
Isogeny class |
Conductor |
29526 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48000 |
Modular degree for the optimal curve |
Δ |
2275578740736 = 220 · 32 · 73 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3999,-66555] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:180:1] |
Generators of the group modulo torsion |
j |
7075344688691833/2275578740736 |
j-invariant |
L |
4.2506403583254 |
L(r)(E,1)/r! |
Ω |
0.61564482401089 |
Real period |
R |
2.3014570482554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88578bm1 |
Quadratic twists by: -3 |