Atkin-Lehner |
3+ 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
30525o |
Isogeny class |
Conductor |
30525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-401119457994151875 = -1 · 37 · 54 · 118 · 372 |
Discriminant |
Eigenvalues |
0 3+ 5- -3 11+ -1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-347583,84671768] |
[a1,a2,a3,a4,a6] |
Generators |
[-1248:270845:27] |
Generators of the group modulo torsion |
j |
-7430542562406400000/641791132790643 |
j-invariant |
L |
2.407242624555 |
L(r)(E,1)/r! |
Ω |
0.29327118716195 |
Real period |
R |
2.0520619906871 |
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 |
91575ca1 30525s1 |
Quadratic twists by: -3 5 |