Atkin-Lehner |
3+ 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
30525q |
Isogeny class |
Conductor |
30525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1516800 |
Modular degree for the optimal curve |
Δ |
-4.1611329232932E+19 |
Discriminant |
Eigenvalues |
2 3+ 5- -5 11+ 1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2146958,-1249258057] |
[a1,a2,a3,a4,a6] |
Generators |
[132225082:6761062379:39304] |
Generators of the group modulo torsion |
j |
-2801783191555747840/106525002836307 |
j-invariant |
L |
7.0219919196177 |
L(r)(E,1)/r! |
Ω |
0.062222283840888 |
Real period |
R |
9.4044441505528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91575cg1 30525y1 |
Quadratic twists by: -3 5 |