Atkin-Lehner |
3+ 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30525h |
Isogeny class |
Conductor |
30525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
705890625 = 3 · 56 · 11 · 372 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11- -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-325,-2000] |
[a1,a2,a3,a4,a6] |
j |
244140625/45177 |
j-invariant |
L |
1.1383296549377 |
L(r)(E,1)/r! |
Ω |
1.1383296549395 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91575t1 1221c1 |
Quadratic twists by: -3 5 |