Atkin-Lehner |
3+ 5- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
13515c |
Isogeny class |
Conductor |
13515 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
40700408985 = 312 · 5 · 172 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 4 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1352,15939] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:1539:8] |
Generators of the group modulo torsion |
j |
273624891501961/40700408985 |
j-invariant |
L |
5.7730425148904 |
L(r)(E,1)/r! |
Ω |
1.0996980007595 |
Real period |
R |
5.2496617352247 |
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 |
40545f1 67575h1 |
Quadratic twists by: -3 5 |