Atkin-Lehner |
3+ 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
30525p |
Isogeny class |
Conductor |
30525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-15723713671875 = -1 · 35 · 58 · 112 · 372 |
Discriminant |
Eigenvalues |
2 3+ 5- 3 11+ -3 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-668458,210581193] |
[a1,a2,a3,a4,a6] |
Generators |
[3786:271:8] |
Generators of the group modulo torsion |
j |
-84564230789263360/40252707 |
j-invariant |
L |
10.268226315715 |
L(r)(E,1)/r! |
Ω |
0.5704191891661 |
Real period |
R |
1.5000994751956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91575cf1 30525w1 |
Quadratic twists by: -3 5 |