Atkin-Lehner |
3- 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
30195q |
Isogeny class |
Conductor |
30195 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-208083652734375 = -1 · 38 · 58 · 113 · 61 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11- -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9598,589776] |
[a1,a2,a3,a4,a6] |
Generators |
[-362:2157:8] [326:6024:1] |
Generators of the group modulo torsion |
j |
134146961560871/285437109375 |
j-invariant |
L |
5.2929876747172 |
L(r)(E,1)/r! |
Ω |
0.39009120260672 |
Real period |
R |
0.56535792563246 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10065a1 |
Quadratic twists by: -3 |