Atkin-Lehner |
3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
36225y |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-60655932421875 = -1 · 39 · 58 · 73 · 23 |
Discriminant |
Eigenvalues |
2 3+ 5- 7+ -4 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-280125,57067031] |
[a1,a2,a3,a4,a6] |
Generators |
[2450:321:8] |
Generators of the group modulo torsion |
j |
-316175339520/7889 |
j-invariant |
L |
10.715581107831 |
L(r)(E,1)/r! |
Ω |
0.57819834091566 |
Real period |
R |
3.0887846924816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36225u1 36225i1 |
Quadratic twists by: -3 5 |